Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems
A new form of basis functions structures has been constructed. These basis functions constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of these structures is to present several forms of differentiation matrices. These matrices were built from the perspective of pse...
Main Authors: | Dina Abdelhamid, Wedad Albalawi, Kottakkaran Sooppy Nisar, A. Abdel-Aty, Suliman Alsaeed, M. Abdelhakem |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-08-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231255?viewType=HTML |
Similar Items
-
Some results for sums of products of Chebyshev and Legendre polynomials
by: Yuan He
Published: (2019-08-01) -
Approximation Properties of Chebyshev Polynomials in the Legendre Norm
by: Cuixia Niu, et al.
Published: (2021-12-01) -
Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
by: Doaa Shokry Mohamed, et al.
Published: (2017-07-01) -
Expressions of Legendre polynomials through Bernoulli polynomials
by: Vu Kim Tuan, et al.
Published: (2011-01-01) -
A Family of New Generating Functions for the Chebyshev Polynomials, Based on Works by Laplace, Lagrange and Euler
by: Claude Brezinski, et al.
Published: (2024-03-01)