Výsledky vyhľadávania - "adomian polynomials"

Utilizing the Hybrid approach of the Ramadan group transform and accelerated Adomian method for solving nonlinear integro-differential equations

Autori: M.A. Ramadan M.M.A. Mansour H.S. Osheba

Zdroj: Iranian Journal of Numerical Analysis and Optimization, Vol 15, Iss Issue 4, Pp 1332-1360 (2025)

Predmety: ramadan group transform (rgt), adomian polynomials, accelerated adomian, integro-differential equations, accuracy, Applied mathematics. Quantitative methods, T57-57.97

Popis súboru: electronic resource

Relation: https://ijnao.um.ac.ir/article_47026_f22f3f1dcf3c1d88ac86614c144c5e19.pdf; https://doaj.org/toc/2423-6977; https://doaj.org/toc/2423-6969

Prístupová URL adresa: https://doaj.org/article/057481dddc964ee5889a0e5ab12ad834

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

Autori: Umer Saeed Mujeeb ur Rehman

Zdroj: Alexandria Engineering Journal, Vol 105, Iss, Pp 56-69 (2024)

Predmety: Operational matrix of differentiation, Caputo–Hadamard fractional differential equations, Operational matrix of integration, Error analysis, Generalized Legendre wavelets, TA1-2040, 0101 mathematics, Adomian polynomials, Engineering (General). Civil engineering (General), 01 natural sciences

Prístupová URL adresa: https://doaj.org/article/10c38c0aebdc4a96929eec8d8e36d714

Fractional logistic growth with memory effects: A tool for industry-oriented modeling

Autori: M.O. Aibinu A. Shoukat F.M. Mahomed

Zdroj: Results in Applied Mathematics, Vol 28, Iss , Pp 100647- (2025)

Predmety: Logistic, Fractional derivative, Sumudu transform, Model, Adomian polynomials, Mathematics, QA1-939

Popis súboru: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2590037425001116; https://doaj.org/toc/2590-0374

Prístupová URL adresa: https://doaj.org/article/af73b8a51f35401ca51a6efe8381b21f

Solution Of Nonlinear Integro-Differential Equations by Using Laplace Decomposition Method and Series Solution Method

Autori: S.S. Handibag J.H. Bhosale

Predmety: Nonlinear IntegroDifferential Equations, Series Solution Method, Adomian Polynomials, Laplace Decomposition Method, Analytical Solution

Prístupová URL adresa: https://indjst.org/articles/solution-of-nonlinear-integro-differential-equations-by-using-laplace-decomposition-method-and-series-solution-method
https://zenodo.org/records/15449024

A Modified Semi-Analytical Method Using the Shehu Transform for Solving Fractional Volterra Integro-differential Equations

Autori: Babatunde M. Yisa Nicholas A. Onah Lateefat O. Aselebe

Zdroj: Al-Mustansiriyah Journal of Science, Vol 36, Iss 3 (2025)

Predmety: Shehu transform, Integro-differential equations, Fractional derivatives, Difference kernel, Adomian polynomials, Science

Popis súboru: electronic resource

Relation: https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1670; https://doaj.org/toc/1814-635X; https://doaj.org/toc/2521-3520

Prístupová URL adresa: https://doaj.org/article/b15a95a6aaa441cfb2658098d3ba8adb

The novel numerical solutions for time-fractional Fornberg-Whitham equation by using fractional natural transform decomposition method

Autori: Aslı Alkan Halil Anaç

Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 25333-25359 (2024)

Predmety: time-fractional partial differential equation, fractional natural transform decomposition method, mittag-leffler function, 0103 physical sciences, QA1-939, adomian polynomials, variational iteration method, 01 natural sciences, Mathematics

Prístupová URL adresa: https://doaj.org/article/0d9900bf4a0b45c49fdb9aab1cdec01d

Advance in the Adomian decomposition method for solving new Emden-Fowler type equations

Autori: Zainab Ali Abdu AL-Rabahi Yahya Qaid Hasan

Zdroj: Surveys in Mathematics and its Applications, Vol 19 (2024), Pp 361-383 (2024)

Predmety: emden–fowler type equations, adomian method, adomian polynomials. singular point, initial value problem., Mathematics, QA1-939

Popis súboru: electronic resource

Relation: https://www.utgjiu.ro/math/sma/v19/p19_19.pdf; https://doaj.org/toc/1843-7265; https://doaj.org/toc/1842-6298

Prístupová URL adresa: https://doaj.org/article/c2f6fcc7712143d88dd62da3f4ad1681

Innovative analysis to the time-fractional q-deformed tanh-Gordon equation via modified double Laplace transform method

Autori: Ali Khalid K. Mohamed Mohamed S. Alharbi Weam G. a ďalší

Zdroj: Open Physics, Vol 22, Iss 1, Pp 7-13 (2024)

Predmety: fractional calculus, q-deformed tanh-gordon equation, double laplace transform method, adomian polynomials, schaefer’s fixed-point theorem, existence and uniqueness analysis, Physics, QC1-999

Popis súboru: electronic resource

Relation: https://doaj.org/toc/2391-5471

Prístupová URL adresa: https://doaj.org/article/4d66c0b65e8048bcbb1bb15a75999b91

Solving special systems of integral equations by using Sumudu transform with a semi-analytical method

Autori: Waleed Al-Hayani

Zdroj: Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 17, Iss 2, Pp 49-53 (2023)

Predmety: double sumudu transform, Electronic computers. Computer science, QA1-939, adomian polynomials, adomian decomposition method (adm), special systems of integral equations, QA75.5-76.95, Mathematics

Prístupová URL adresa: https://doaj.org/article/9a1d13420c8946dbbb9f31981b5dd026

Combining Laplace transform and Adomian decomposition method for solving singular IVPs of Emden-Fowler of partial differential equations

Autori: Waleed Al-Hayani Fatima Yassin

Zdroj: Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 17, Iss 2, Pp 79-92 (2023)

Predmety: Electronic computers. Computer science, QA1-939, adomian polynomials, adomian decomposition method, QA75.5-76.95, laplace transform method, emden-fowler equation, Mathematics, wave-type equation

Prístupová URL adresa: https://doaj.org/article/ffadd27ac3604b7f92c6578471e305c0

Exploring a Novel Multi-Stage Differential Transform Method Coupled with Adomian Polynomials for Solving Implicit Nonlinear ODEs with Analytical Solutions

Autori: Brahim Benhammouda Hector Vazquez-Leal

Zdroj: Mathematics ; Volume 13 ; Issue 3 ; Pages: 358

Predmety: implicit systems of nonlinear ordinary differential, differential transform method, Runge–Kutta method, Adomian polynomials

Popis súboru: application/pdf

Relation: https://dx.doi.org/10.3390/math13030358

Dostupnosť: https://doi.org/10.3390/math13030358

Fractional analysis of the (2+1) $$\mathfrak {q}$$-deformed tanh-Gordon equation with optimal homotopy with $$\mathbb {J}$$-transform: Fractional analysis of the \((2+1)\, \mathfrak{q}\)-deformed tanh-Gordon equation with optimal homotopy with \(\mathbb{J}\)-transform

Autori: Ali, Khalid K. Mohamed, Mohamed S. Maneea, M.

Zdroj: Zeitschrift für angewandte Mathematik und Physik. 75

Predmety: optimal homotopy analysis method, \((2+1)\, \mathfrak{q}\)-deformed tanh-Gordon equation, Second-order quasilinear hyperbolic equations, \(\mathbb{J}\)-transform, Series solutions to PDEs, fractional calculus, Adomian polynomials, Fractional partial differential equations

Popis súboru: application/xml

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python

Autori: Mohsen Noorimohammad Asadollah Houshmand Hooman Fatoorehchi

Zdroj: Journal of Chemical and Petroleum Engineering, Vol 58, Iss 1, Pp 103-114 (2024)

Predmety: adomian decomposition method, adomian polynomials, differential equations, nonlinear equations, python, Polymers and polymer manufacture, TP1080-1185, Chemical engineering, TP155-156

Popis súboru: electronic resource

Relation: https://jchpe.ut.ac.ir/article_95517_1f5a7f6432e79c65d33dede2724d8379.pdf; https://doaj.org/toc/2423-673X; https://doaj.org/toc/2423-6721

Prístupová URL adresa: https://doaj.org/article/469c3f434cf543fda99ab82f96315d77

Exploring optical soliton solutions of the time fractional q-deformed Sinh-Gordon equation using a semi-analytic method

Autori: Khalid K. Ali Mohamed S. Mohamed M. Maneea

Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 27947-27968 (2023)

Predmety: Economics, Mathematical analysis, Quantum mechanics, Quantum, Meteorology, Discrete Solitons in Nonlinear Photonic Systems, Soliton, QA1-939, FOS: Mathematics, time-fractional $ \mathsf{q} $-deformed sinh-gordon equation, Work (physics), Anomalous Diffusion Modeling and Analysis, Order (exchange), caputo fractional derivatives, Deformation (meteorology), Computer graphics (images), Physics, homotopy analysis method, Fractional calculus, Statistical and Nonlinear Physics, Computer science, Hyperbolic function, Physics and Astronomy, Modeling and Simulation, Mathematical physics, Physical Sciences, Nonlinear system, adomian polynomials, Graphics, Homotopy Analysis Method, Mathematics, Finance, Rogue Waves in Nonlinear Systems

Prístupová URL adresa: https://doaj.org/article/c2f9cc7d5e2a4a169dbf7de4733f1891

Generalized Thomas-Fermi equation: existence, uniqueness, and analytic approximation solutions

Autori: Lazhar Bougoffa Smail Bougouffa Ammar Khanfer

Zdroj: AIMS Mathematics, Vol 8, Iss 5, Pp 10529-10546 (2023)

Predmety: lower and upper bounds, thomas-fermi equation, QA1-939, adomian polynomials, adomian decomposition method, existence and uniqueness theorem, approximate solution, Mathematics

Prístupová URL adresa: https://doaj.org/article/c88deb8665204aeaba4fc3e7e2515d09

Application of an efficient analytical technique based on Aboodh transformation to solve linear and non-linear dynamical systems of integro-differential equations

Autori: Qasim Khan Anthony Suen Hassan Khan

Zdroj: Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100848- (2024)

Predmety: Aboodh transform decomposition method, System of fractional integro-differential equations, Caputo operator, Aboodh transformation, Adomian polynomials, Daftardar–Jafari polynomials, Applied mathematics. Quantitative methods, T57-57.97

Popis súboru: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666818124002341; https://doaj.org/toc/2666-8181

Prístupová URL adresa: https://doaj.org/article/e48d1922c65e4bf8af3a0ac8e1cf9345

Exploration of novel analytical solutions of boundary layer equation via the modified sumudu transform

Autori: Shailesh A. Bhanotar

Zdroj: Examples and Counterexamples, Vol 5, Iss , Pp 100140- (2024)

Predmety: Modified sumudu transform, Adomian polynomials, Boundary layer equation, Mathematics, QA1-939

Popis súboru: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2666657X24000065; https://doaj.org/toc/2666-657X

Prístupová URL adresa: https://doaj.org/article/1bda8e0c9a9c4fc49e6c8da7527e751e

A New Decomposition Method for Integro-Differential Equations

Autori: Morufu Oyedunsi OLAYİWOLA Kabiru KAREEM

Zdroj: Volume: 43, Issue: 2 283-288
Cumhuriyet Science Journal

Predmety: Matematik, 0209 industrial biotechnology, 02 engineering and technology, Adomian Polynomials, Integro-differential equations, Taylor Series, 0101 mathematics, 01 natural sciences, Mathematical Sciences

Popis súboru: application/pdf

Prístupová URL adresa: https://dergipark.org.tr/tr/pub/csj/issue/70672/986019

Solution for a rotational pendulum system by the Rach–Adomian–Meyers decomposition method

Autori: O. González-Gaxiola Randolph Rach J. Ruiz de Chávez

Zdroj: Nonlinear Engineering, Vol 11, Iss 1, Pp 156-167 (2022)

Predmety: Artificial intelligence, Decomposition method (queueing theory), Periodic Wave Solutions, 01 natural sciences, Pendulum, Differential equation, Series (stratigraphy), Numerical Analysis, Ecology, Physics, 4. Education, Discrete mathematics, Engineering (General). Civil engineering (General), 16. Peace & justice, FOS: Philosophy, ethics and religion, Modeling and Simulation, Physical Sciences, TA1-2040, nonlinear oscillators, Numerical analysis, 65d15, modified adomian decomposition method, 34c15, 34l30, Control (management), Epistemology, Mathematical analysis, Quantum mechanics, Double pendulum, Numerical Integration Methods for Differential Equations, 0103 physical sciences, FOS: Mathematics, Control theory (sociology), Genetics, Inverted pendulum, rotational pendulum system, Biology, Anomalous Diffusion Modeling and Analysis, Decomposition, Oscillation (cell signaling), Paleontology, Statistical and Nonlinear Physics, Applied mathematics, Computer science, Philosophy, Physics and Astronomy, FOS: Biological sciences, Nonlinear system, Simple (philosophy), adomian polynomials, Adomian decomposition method, approximate analytical method, Mathematics, Rogue Waves in Nonlinear Systems

Prístupová URL adresa: https://doaj.org/article/962999f4a455416ea5cb8dfcf267891b

Extension of the First-Order Recursive Filters Method to Non-Linear Second-Kind Volterra Integral Equations

Autori: Rodolphe Heyd

Zdroj: Mathematics, Vol 12, Iss 22, p 3612 (2024)

Predmety: non-linear Volterra integral equations, convolutional and multiplicative kernels, first-order infinite impulse response (IIR) filters, Adomian decomposition method (ADM), Adomian polynomials, Shanks acceleration, Mathematics, QA1-939

Popis súboru: electronic resource

Relation: https://www.mdpi.com/2227-7390/12/22/3612; https://doaj.org/toc/2227-7390

Prístupová URL adresa: https://doaj.org/article/2bf380e7708942e7bdc7752cec1dd6a6