Výsledky vyhledávání - "Convergence Analysis of Iterative Methods for Nonlinear Equations"

A Novel Generalized n-Dimensions Sixtic B-Spline Function to Solving n-Dimensions Mathematical Models

Autoři: Khalid K. Ali K. R. Raslan Mohamed S. Mohamed

Zdroj: Journal of Mathematics, Vol 2024 (2024)

Témata: Numerical Analysis, Quadrature Formulas, Pure mathematics, Evolutionary biology, Applied mathematics, 01 natural sciences, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Mechanics of Materials, B-spline, Function (biology), Modeling and Simulation, 0103 physical sciences, Physical Sciences, QA1-939, FOS: Mathematics, Fundamentals and Applications of Finite Element Analysis, 0101 mathematics, Numerical Simulation, Nonlinear Equations, Iterative Methods, Biology, Mathematics, Anomalous Diffusion Modeling and Analysis

Přístupová URL adresa: https://doaj.org/article/477bffadd5994191a5f35045278f9045

Numerical Solution of Volterra-Hammerstein Integral Equation of the First Kind by Finite Difference Method Decomposition with Nyström Method

Autoři: Somia Guechi

Zdroj: Mathematical Modelling of Engineering Problems. 11:1029-1036

Témata: Finite difference, Numerical Analysis, Decomposition, Organic chemistry, Newton's Method, Derivative-Free Methods, Nyström method, Volterra integral equation, Applied mathematics, Finite difference method, 16. Peace & justice, Mathematical analysis, 7. Clean energy, Convergence Analysis of Iterative Methods for Nonlinear Equations, Chemistry, Numerical Methods for Singularly Perturbed Problems, Modeling and Simulation, Numerical Methods, Physical Sciences, FOS: Mathematics, Finite Difference Schemes, Iterative Methods, Anomalous Diffusion Modeling and Analysis, Mathematics, Integral equation

Extended Conformable K-Hypergeometric Function and Its Application: Extended conformable \(k\)-hypergeometric function and its application

Autoři: Mirza Abdul Qayyum Aya Mohammed Dhiaa Abid Mahboob a další

Zdroj: Advances in Mathematical Physics, Vol 2024 (2024)

Témata: Composite material, QC1-999, Evolutionary biology, Conformable matrix, 01 natural sciences, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, FOS: Mathematics, Hypergeometric function, 0101 mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Physics, Applied Mathematics, 4. Education, Pure mathematics, Generalized hypergeometric function, 16. Peace & justice, Materials science, Function (biology), Quantum theory, Modeling and Simulation, Physical Sciences, Lauricella hypergeometric series, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions

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Přístupová URL adresa: https://doaj.org/article/1f987718a90e409ea0d2e149cd9d24b0

Numerical Solution of Burgers–Huxley Equation Using a Higher Order Collocation Method

Autoři: Aditi Singh Sumita Dahiya Homan Emadifar a další

Zdroj: Journal of Mathematics, Vol 2024 (2024)

Témata: Economics, Collocation (remote sensing), Mathematical analysis, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Differential equation, QA1-939, FOS: Mathematics, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, Order (exchange), Collocation method, Numerical Analysis, Statistical and Nonlinear Physics, Partial differential equation, Geology, FOS: Earth and related environmental sciences, Remote sensing, Applied mathematics, Physics and Astronomy, Burgers' equation, Modeling and Simulation, Physical Sciences, Mathematics, Ordinary differential equation, Finance, Rogue Waves in Nonlinear Systems

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Přístupová URL adresa: https://doaj.org/article/5de9115d73354e10bf5c809d9b2478d8

New Solutions of Time- and Space-Fractional Black–Scholes European Option Pricing Model via Fractional Extension of He-Aboodh Algorithm

Autoři: Mubashir Qayyum Efaza Ahmad

Zdroj: Journal of Mathematics, Vol 2024 (2024)

Témata: Social Sciences, 02 engineering and technology, Space (punctuation), 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, FOS: Economics and business, Higher-Order Methods, Black–Scholes model, Theory and Applications of Option Pricing Models, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Econometrics, 0101 mathematics, Option Pricing, Anomalous Diffusion Modeling and Analysis, Valuation of options, Volatility (finance), Numerical Analysis, Extension (predicate logic), Time-Fractional Diffusion Equation, Mathematical optimization, Fractional calculus, Applied mathematics, Computer science, Programming language, Algorithm, Economics, Econometrics and Finance, Fractional Derivatives, Operating system, Modeling and Simulation, Physical Sciences, Homotopy Analysis Method, Mathematics, Finance

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Přístupová URL adresa: https://doaj.org/article/fcbbe487aeca475b9eac315d8988fc0e

An improved approximate method for solving two-dimensional time-fractional-order Black-Scholes model: a finite difference approach

Autoři: Din Prathumwan Thipsuda Khonwai Narisara Phoochalong a další

Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 17205-17233 (2024)

Témata: Finite difference, Economics, Fractional Order Control, 02 engineering and technology, 01 natural sciences, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, FOS: Economics and business, Higher-Order Methods, Engineering, Black–Scholes model, multi-dimensional model, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Econometrics, 0101 mathematics, finite difference method, Anomalous Diffusion Modeling and Analysis, Order (exchange), Analysis and Design of Fractional Order Control Systems, Volatility (finance), Numerical Analysis, Time-Fractional Diffusion Equation, Derivative-Free Methods, Applied mathematics, Fractional Derivatives, Control and Systems Engineering, numerical simulation, Modeling and Simulation, Physical Sciences, crank-nicolson, time fracional-order black-scholes model, Mathematics, Finance

Přístupová URL adresa: https://doaj.org/article/64bc855a0ecd4491af7153f852cc5094

A quintic B-spline technique for a system of Lane-Emden equations arising in theoretical physical applications

Autoři: Osama Ala'yed Ahmad Qazza Rania Saadeh a další

Zdroj: AIMS Mathematics, Vol 9, Iss 2, Pp 4665-4683 (2024)

Témata: Economics, Quintic function, Collocation (remote sensing), quintic b-spline, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, b-spline, Differential equation, Physical Sciences and Mathematics, Numerical Analysis, Applied Mathematics, Physics, 4. Education, Discrete mathematics, Programming language, Modeling and Simulation, Physical Sciences, Convergence (economics), Thermodynamics, Algebraic number, quintic B-spline, Set (abstract data type), Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Spline (mechanical), B-spline, Machine learning, QA1-939, FOS: Mathematics, lane-emden system, 0101 mathematics, Approximation, Anomalous Diffusion Modeling and Analysis, Collocation method, Economic growth, Algebra over a field, Pure mathematics, differential equations, Lane-Emden system, spline, Applied mathematics, Computer science, Quadrature Methods, Nonlinear system, Mathematics, Consistency (knowledge bases), Ordinary differential equation, Algebraic equation

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Přístupová URL adresa: https://doaj.org/article/5d3af57111d447b4a936654e13659b2d

Fractional calculus analysis: investigating Drinfeld-Sokolov-Wilson system and Harry Dym equations via meshless procedures

Autoři: Muhammad Nawaz Khan Imtiaz Ahmad Mehnaz Shakeel a další

Zdroj: Mathematical Modelling and Control, Vol 4, Iss 1, Pp 86-100 (2024)

Témata: meshless procedures, drinfeld-sokolov-wilson equation, harry dym equation, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, 0103 physical sciences, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, T57-57.97, Numerical Analysis, Algebra over a field, Applied mathematics. Quantitative methods, FOS: Clinical medicine, 4. Education, Pure mathematics, Applied mathematics, Fracture Mechanics Modeling and Simulation, rbf method, Mechanics of Materials, polynomial method, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Calculus (dental), Mathematics

Přístupová URL adresa: https://doaj.org/article/66384382784d4edab309a90900841664

Fractional $ 3/8 $-Simpson type inequalities for differentiable convex functions

Autoři: Nassima Nasri Badreddine Meftah Abdelkader Moumen a další

Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 5349-5375 (2024)

Témata: convex functions, 3/8-simpson inequality, Quadrature Formulas, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Integrals, Differentiable function, Convex function, QA1-939, FOS: Mathematics, Approximation, hölder inequality, Numerical Analysis, Applied Mathematics, 4. Education, Pure mathematics, Paleontology, Geology, FOS: Earth and related environmental sciences, Applied mathematics, Regular polygon, riemann-liouville integral operators, Quadrature Methods, Inequality, Physical Sciences, Type (biology), Mathematics

Přístupová URL adresa: https://doaj.org/article/bf3b6397ae31476f9ecd61bc4c74886c

Fractional calculus in beam deflection: Analyzing nonlinear systems with Caputo and conformable derivatives

Autoři: Abdelkader Lamamri Iqbal H. Jebril Zoubir Dahmani a další

Zdroj: AIMS Mathematics, Vol 9, Iss 8, Pp 21609-21627 (2024)

Témata: Composite material, 02 engineering and technology, Conformable matrix, 01 natural sciences, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Deflection (physics), Classical mechanics, 0101 mathematics, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, conformable fractional derivative, Numerical Analysis, Time-Fractional Diffusion Equation, Physics, FOS: Clinical medicine, Fractional calculus, Statistical and Nonlinear Physics, caputo derivative, Applied mathematics, Materials science, traveling waves, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Dentistry, differential system, Physical Sciences, Nonlinear system, Medicine, Fractional Calculus, beam deflection, Calculus (dental), Iterative Methods, existence of solution, than method, Mathematics, Rogue Waves in Nonlinear Systems

Přístupová URL adresa: https://doaj.org/article/3b6b10bc54134f479e6446c54f92c987

A third-order numerical method for solving fractional ordinary differential equations

Autoři: Xiaopeng Yi Chongyang Liu H. T. Cheong a další

Zdroj: AIMS Mathematics, Vol 9, Iss 8, Pp 21125-21143 (2024)

Témata: Economics, 01 natural sciences, Mathematical analysis, Quantum mechanics, implicit scheme, convergence analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Differential equation, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Taylor series, 0101 mathematics, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Integral equation, Economic growth, newton's method, Numerical Analysis, Physics, 4. Education, time-stepping discretization, Volterra integral equation, Applied mathematics, fractional ordinary differential equations, Modeling and Simulation, Physical Sciences, Convergence (economics), Nonlinear system, Fractional Calculus, Numerical Integration, Mathematics, Ordinary differential equation, Numerical analysis, Algebraic equation

Přístupová URL adresa: https://doaj.org/article/7655bd06d5c04502b5c0e681c36e5e4e

Efficient method for solving nonlinear weakly singular kernel fractional integro-differential equations

Autoři: Ismail Gad Ameen Dumitru Băleanu Hussein S. Hussein

Zdroj: AIMS Mathematics, Vol 9, Iss 6, Pp 15819-15836 (2024)

Témata: 01 natural sciences, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, singular integro-differential equations, 0101 mathematics, step-function, generalized fractional mittag-leffler function, Nonlinear Equations, error analysis, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Time-Fractional Diffusion Equation, Physics, 4. Education, Pure mathematics, Derivative-Free Methods, Applied mathematics, 16. Peace & justice, optimization method, Modeling and Simulation, Physical Sciences, Nonlinear system, Kernel (algebra), Fractional Calculus, operational integral matrix, Iterative Methods, Mathematics

Přístupová URL adresa: https://doaj.org/article/380b83d8734549b393d2ee1c2a8a51b6

Legendre spectral collocation method for solving nonlinear fractional Fredholm integro-differential equations with convergence analysis

Autoři: A. H. Tedjani A. Z. M. Amin Abdel‐Haleem Abdel‐Aty a další

Zdroj: AIMS Mathematics, Vol 9, Iss 4, Pp 7973-8000 (2024)

Témata: Artificial intelligence, Orthogonal polynomials, Economics, Collocation (remote sensing), spectral method, Mathematical analysis, Quantum mechanics, 01 natural sciences, convergence analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Gegenbauer polynomials, Differential equation, Numerical Methods for Singularly Perturbed Problems, Machine learning, QA1-939, FOS: Mathematics, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, Collocation method, Economic growth, legendre-gauss-lobatto, Numerical Analysis, Associated Legendre polynomials, caputo fractional derivative, Physics, Classical orthogonal polynomials, Legendre wavelet, Applied mathematics, Computer science, fractional fredholm integro-differential equation, Modeling and Simulation, Physical Sciences, Convergence (economics), Legendre polynomials, Nonlinear system, Discrete wavelet transform, Legendre's equation, Wavelet transform, Finite Difference Schemes, Legendre function, Wavelet, Mathematics, Ordinary differential equation

Přístupová URL adresa: https://doaj.org/article/bfb5183dc5db450a8d02d197cd07e0e8

A novel method to study time fractional coupled systems of shallow water equations arising in ocean engineering

Autoři: K. Pavani K. Raghavendar

Zdroj: AIMS Mathematics, Vol 9, Iss 1, Pp 542-564 (2024)

Témata: Economics, Periodic Wave Solutions, Mathematical analysis, 01 natural sciences, caputo-fabrizio derivative, Convergence Analysis of Iterative Methods for Nonlinear Equations, 0103 physical sciences, QA1-939, FOS: Mathematics, atangana-baleanu-caputo derivative, Anomalous Diffusion Modeling and Analysis, Economic growth, shallow-water equation, Numerical Analysis, Time-Fractional Diffusion Equation, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, caputo derivative, Applied mathematics, 6. Clean water, Algorithm, Homotopy analysis method, Dimension (graph theory), Physics and Astronomy, 13. Climate action, Modeling and Simulation, Residual, Physical Sciences, Convergence (economics), Uniqueness, Homotopy, Iterative Methods, Mathematics, Rogue Waves in Nonlinear Systems

Přístupová URL adresa: https://doaj.org/article/b9ed275573f04463ae70e8d9a5f34c11

A mathematical fractional model of waves on Shallow water surfaces: The Korteweg-de Vries equation

Autoři: Muath Awadalla Abdul Hamid Ganie Dowlath Fathima a další

Zdroj: AIMS Mathematics, Vol 9, Iss 5, Pp 10561-10579 (2024)

Témata: Convergent series, yang transform, 01 natural sciences, Mathematical analysis, Quantum mechanics, Graph, Convergence Analysis of Iterative Methods for Nonlinear Equations, homotopy perturbation transform method, 0103 physical sciences, QA1-939, FOS: Mathematics, caputo-fabrizio operator, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Korteweg–de Vries equation, Time-Fractional Diffusion Equation, Physics, Fractional calculus, Statistical and Nonlinear Physics, Power series, Discrete mathematics, Applied mathematics, Computer science, Programming language, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Nonlinear system, Integer (computer science), Mathematics, Rogue Waves in Nonlinear Systems

Přístupová URL adresa: https://doaj.org/article/c7624961838a42e8a53119a8d925e7ec

A new approach in handling one-dimensional time-fractional Schrödinger equations

Autoři: Ahmad El-Ajou Rania Saadeh Moawaih Akhu Dunia a další

Zdroj: AIMS Mathematics, Vol 9, Iss 5, Pp 10536-10560 (2024)

Témata: multiple fractional power series, Decomposition method (queueing theory), Laplace transform, 01 natural sciences, Mathematical analysis, Quantum mechanics, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, laplace residual power series method, Perturbation (astronomy), 0103 physical sciences, QA1-939, FOS: Mathematics, Series (stratigraphy), Homotopy perturbation method, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, 4. Education, Pure mathematics, fractional schrödinger equation, Paleontology, Power series, Partial differential equation, Discrete mathematics, Applied mathematics, 16. Peace & justice, Algorithm, Quadrature Methods, Fractional Derivatives, Homotopy analysis method, fractional operators, Modeling and Simulation, Residual, Physical Sciences, Adomian decomposition method, Homotopy, Iterative Methods, Mathematics

Přístupová URL adresa: https://doaj.org/article/b9ac69d5fa4445b3a23f2e7b33180c26

A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems

Autoři: Jinxing Liu Jiahua Fang Muhammad Nadeem a další

Zdroj: Complexity, Vol 2023 (2023)

Témata: Relation (database), Algebraic number, Economics, 01 natural sciences, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Database, Perturbation (astronomy), Numerical Methods for Singularly Perturbed Problems, 0103 physical sciences, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Economic growth, Scheme (mathematics), Numerical Analysis, Physics, Mathematical optimization, Paleontology, QA75.5-76.95, Recurrence relation, Applied mathematics, 16. Peace & justice, Computer science, Iterative method, Electronic computers. Computer science, Modeling and Simulation, Physical Sciences, Convergence (economics), Homotopy Analysis Method, Iterative Methods, Mathematics, Discretization

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Přístupová URL adresa: https://doaj.org/article/61248fce3a0348bfbc4179d873446129

Genocchi collocation method for accurate solution of nonlinear fractional differential equations with error analysis

Autoři: Mohamed El‐Gamel Nesreen Mohamed Waleed Adel

Zdroj: Volume: 3, Issue: 4 351-375
Mathematical Modelling and Numerical Simulation with Applications

Témata: Collocation (remote sensing), Uygulamalarda Dinamik Sistemler, Dynamical Systems in Applications, 01 natural sciences, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Sayısal Analiz, Machine learning, FOS: Mathematics, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, Collocation method, Numerical Analysis, Physics, Fractional calculus, Statistical and Nonlinear Physics, Applied mathematics, Computer science, Fractional-order modelling, collocation method, nonlinear phenomena, error bound, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Nonlinear system, Fractional Calculus, Mathematics, Ordinary differential equation, Rogue Waves in Nonlinear Systems, Algebraic equation

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Přístupová URL adresa: https://dergipark.org.tr/tr/pub/mmnsa/issue/81380/1373647

Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method

Autoři: Khalid K. Ali F. E. Abd Elbary Mohamed S. Abdel‐wahed a další

Zdroj: International Journal of Differential Equations, Vol 2023 (2023)

Témata: Convergent series, Laplace transform, 01 natural sciences, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Laplace's equation, 0103 physical sciences, QA1-939, FOS: Mathematics, Series (stratigraphy), 0101 mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Physics, 4. Education, Fractional calculus, Paleontology, Statistical and Nonlinear Physics, Power series, Partial differential equation, Applied mathematics, Algorithm, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Residual, Physical Sciences, Nonlinear system, Mathematics, Rogue Waves in Nonlinear Systems

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Přístupová URL adresa: https://doaj.org/article/2c1e3c3a8e8e41b89e21037ad01d71a9

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

Autoři: A. M. Al‐Bugami M.A. Abdou A. M. S. Mahdy

Zdroj: Journal of Function Spaces, Vol 2023 (2023)

Témata: Bernoulli's principle, Orthogonal polynomials, 01 natural sciences, Theory and Applications of Fractional Differential Equations, Polynomial, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, QA1-939, FOS: Mathematics, 0101 mathematics, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Integral equation, Numerical Analysis, Applied Mathematics, Fredholm integral equation, Chebyshev nodes, Physics, Classical orthogonal polynomials, Chebyshev equation, Applied mathematics, Semilinear Differential Equations, Aerospace engineering, Modeling and Simulation, Physical Sciences, Nonlinear system, Uniqueness, Chebyshev polynomials, Mathematics, Nonlinear Systems, Algebraic equation

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Přístupová URL adresa: https://doaj.org/article/b6fd494fc6674c0ebc7a36138abd71ee