Výsledky vyhledávání - "LEGENDRE'S polynomials"

Shifted Legendre Basis Functions on the Numerical Solution for the Class of Linear Integro Differential Equation.

Autoři: Adebisi, A. F. Babalola, O. O.

Zdroj: Journal of Science & Technology (1607-2073). 2025, Vol. 30 Issue 8, p82-87. 6p.

Témata: *INTEGRO-differential equations, *LEGENDRE'S polynomials, *PERIODICAL articles, *COMPUTER simulation, *APPLIED sciences, *NUMERICAL solutions to equations

2‐Variable q$$ q $$‐Legendre‐Based Appell Polynomials and Their Applications.

Autoři: Ahmad Khan, Waseem Riyasat, Mumtaz Kizilateş, Can

Zdroj: Mathematical Methods in the Applied Sciences. Nov2025, p1. 23p. 12 Illustrations.

Témata: *LEGENDRE'S polynomials, *SERIES expansion (Mathematics), *MATHEMATICAL expansion, *DIFFERENTIAL equations

Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series.

Autoři: Cantarini, Marco¹ (AUTHOR) marco.cantarini@unipg.it

Zdroj: Integral Transforms & Special Functions. Nov2025, Vol. 36 Issue 11, p940-960. 21p.

Témata: *FOURIER series, *LEGENDRE'S polynomials, *JACOBI polynomials, *MATHEMATICAL series, *IDENTITIES (Mathematics), *TAYLOR'S series, *BINOMIAL coefficients, *INTEGRALS

Legendre polynomial transformation and energy-weighted random forests for sequential data classification.

Autoři: Olaniran, Oyebayo Ridwan Alghamdi, Fatimah M. Alharbi, Nada MohammedSaeed a další

Zdroj: Scientific Reports. 10/22/2025, Vol. 15 Issue 1, p1-27. 27p.

Témata: *LEGENDRE'S polynomials, *TIME series analysis, *CLASSIFICATION, *PATTERN perception, *MACHINE learning

A deep Legendre polynomial neural network for nonlinear time–space fractional reaction–diffusion equations.

Autoři: Kumar, Anil Kumar, Sachin Varshney, Paras

Zdroj: AIP Advances. Oct2025, Vol. 15 Issue 10, p1-11. 11p.

Témata: *LEGENDRE'S polynomials, *ARTIFICIAL neural networks, *NONLINEAR equations, *REACTION-diffusion equations, *NUMERICAL solutions to equations, *CAPUTO fractional derivatives, *FRACTIONAL calculus, *FINITE difference method

A Modified Collocation Technique for Addressing the Time-Fractional FitzHugh–Nagumo Differential Equation with Shifted Legendre Polynomials.

Autoři: Alzahrani, S. S. Alanazi, Abeer A. Atta, Ahmed Gamal

Zdroj: Symmetry (20738994). Sep2025, Vol. 17 Issue 9, p1468. 20p.

Témata: *COLLOCATION methods, *LEGENDRE'S polynomials, *DIFFERENTIAL equations, *ERROR analysis in mathematics

Analysis and Conditional Optimization of Projection Estimates for Distribution of Random Variable Using Legendre Polynomials.

Autoři: Averina, Tatyana Rybakov, Konstantin

Zdroj: Algorithms. Aug2025, Vol. 18 Issue 8, p466. 26p.

Témata: *DISTRIBUTION (Probability theory), *LEGENDRE'S polynomials, *CONSTRAINED optimization, *APPROXIMATION theory, *PROBABILITY density function, *RANDOM variables

Numerical pricing of European options under time-fractional Black–Scholes equation in financial markets.

Autoři: Mishra, Arvind Kumar Verma, Lalchand Nikan, Omid a další

Zdroj: Chaos. Aug2025, Vol. 35 Issue 8, p1-16. 16p.

Témata: *CAPUTO fractional derivatives, *LEGENDRE'S polynomials, *SIMULATION methods & models, *DERIVATIVE securities, *PRICE fluctuations, *ERROR analysis in mathematics

Spectral Collocation Method for Solving Nonlinear Riesz Distributed-Order Fractional Differential Equations.

Autoři: Lachin, Ammar Abdelkawy, Mohammed A. Sathasivam, Saratha

Zdroj: Mathematics (2227-7390); Nov2025, Vol. 13 Issue 21, p3425, 24p

Témata: FRACTIONAL differential equations, COLLOCATION methods, LEGENDRE'S polynomials, DISCRETIZATION methods, ALGORITHMS

High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems.

Autoři: Alomari, Mohammad W.

Zdroj: Mathematics (2227-7390); Oct2025, Vol. 13 Issue 20, p3319, 35p

Témata: INITIAL value problems, TIME integration scheme, SPECTRAL theory, STATISTICAL accuracy, RUNGE-Kutta formulas, ITERATIVE methods (Mathematics), LEGENDRE'S polynomials, STABILITY (Mechanics)

Legendre spectral collocation method for one- and two-dimensional nonlinear pantograph Volterra–Fredholm integro-differential equations.

Autoři: Ezz-Eldien, S. S. Alalyani, A.

Zdroj: International Journal of Modern Physics C: Computational Physics & Physical Computation; Feb2026, Vol. 37 Issue 2, p1-11, 11p

Témata: NONLINEAR equations, PANTOGRAPH, LEGENDRE'S polynomials, VOLTERRA equations, INTEGRO-differential equations, NUMERICAL analysis, APPROXIMATION algorithms

Numerical Method for Time Distributed-Order Diffusion Equations Based on Reproducing Kernel Space.

Autoři: Zhang, Yingchao Jiang, Wei Li, Lin a další

Zdroj: International Journal of Computational Methods; Feb2026, Vol. 23 Issue 1, p1-19, 19p

Témata: REPRODUCING kernel (Mathematics), LEGENDRE'S polynomials, FRACTIONAL powers, HEAT equation, NUMERICAL analysis, SIMULATION methods & models, COMPUTER simulation

Comparison of Different Order and Heterogeneous Residual Variances Legendre Polynomials in Random Regression Models.

Alternate Title: Şansa Bağlı Regresyon Modellerinde Farklı Dereceli ve Heterojen Hata Varyanslı Legendre Polinomlarının Karşılaştırılması.

Autoři: ABACI, Samet Hasan¹ shabaci37@gmail.com

Zdroj: Kafkas Üniversitesi Veteriner Fakültesi Dergisi. 2021, Vol. 27 Issue 1, p1-6. 6p.

Témata: Regression analysis, Legendre's polynomials, Polynomials, Akaike information criterion, Variances, Covariance matrices

Geografický termín: Turkey

Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation.

Autoři: Park, Choonkil Shokri, Javad Avery, Richard I.

Zdroj: Journal of Function Spaces; 9/27/2025, Vol. 2025, p1-10, 10p

Témata: PARTIAL differential equations, BOUNDARY value problems, LEGENDRE'S polynomials, VOLTERRA equations, HILBERT space, NUMERICAL analysis

A Computational Method for Solving a q-Fractional Differential Equation using q-Legendre Operational Matrix.

Autoři: Madhavi, B. Kumar, G. Suresh Nagalakshmi, S. a další

Zdroj: IAENG International Journal of Computer Science. Sep2025, Vol. 52 Issue 9, p2951-2957. 7p.

Témata: Fractional differential equations, Fractional calculus, Iterative methods (Mathematics), Algebraic equations, Legendre's polynomials, Matrices (Mathematics), Numerical analysis

The 4-adic complexity of quaternary sequences with optimal odd-periodic autocorrelation magnitude.

Autoři: Jing, Xiaoyan Xu, Zhefeng

Zdroj: Applicable Algebra in Engineering, Communication & Computing; Sep2025, Vol. 36 Issue 5, p959-970, 12p

Témata: MATHEMATICAL sequences, COMPUTATIONAL complexity, MATHEMATICAL mappings, LEGENDRE'S polynomials, STATISTICAL correlation

A Well-Conditioned Spectral Galerkin–Levin Method for Highly Oscillatory Integrals.

Autoři: Pasternak, Viktoriya Sulym, Heorhiy Korniichuk, Andrii a další

Zdroj: AppliedMath; Sep2025, Vol. 5 Issue 3, p95, 17p

Témata: GALERKIN methods, LEGENDRE'S polynomials, DIFFERENTIAL equations, NUMERICAL integration, NUMERICAL analysis

ANALYSIS AND COLLOCATION APPROXIMATIONS USING SHIFTED LEGENDRE GALERKIN ALGORITHM FOR SYSTEMS OF FRACTIONAL INTEGRODIFFERENTIAL DELAY PROBLEMS REGARDING HILFER FRACTIONAL TYPE.

Autoři: SWEIS, HIND ARQUB, OMAR ABU SHAWAGFEH, NABIL a další

Zdroj: Fractals; 2025, Vol. 33 Issue 8, p1-26, 26p

Témata: GALERKIN methods, DIFFERENTIAL equations, APPROXIMATION algorithms, NUMERICAL analysis, FRACTIONAL calculus, LEGENDRE'S polynomials, UNIQUENESS (Mathematics)

A particle physicist lacing their shoes.

Autoři: Alonso, Rodrigo

Zdroj: European Physical Journal C -- Particles & Fields; Sep2025, Vol. 85 Issue 9, p1-7, 7p

Témata: PARTICLE physics, COMBINATORICS, BOSONS, TENSOR algebra, SHOELACES, LEGENDRE'S polynomials

Highly accurate method for solving forced Duffing equations with integral boundary conditions.

Autoři: Ahmed, H. M.

Zdroj: Boundary Value Problems; 7/24/2025, Vol. 2025 Issue 1, p1-17, 17p

Témata: DUFFING equations, NUMERICAL solutions to equations, COLLOCATION methods, LEGENDRE'S polynomials, ALGORITHMS, MATHEMATICAL analysis, BOUNDARY element methods, MATRICES (Mathematics)