Open AccessNew Properties of Modified Second Kind Chebyshev Polynomials
Author(s) -
Semaa Hassan Aziz,
Mohammed Rasheed,
Suha Shihab
Publication year - 2020
Publication title -
xi'nan jiaotong daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 21
ISSN - 0258-2724
DOI - 10.35741/issn.0258-2724.55.3.2
Subject(s) - chebyshev polynomials , chebyshev equation , mathematics , chebyshev nodes , equioscillation theorem , chebyshev filter , classical orthogonal polynomials , polynomial , chebyshev pseudospectral method , chebyshev iteration , gegenbauer polynomials , orthogonal polynomials , approximation theory , jacobi polynomials , mathematical analysis
Modified second kind Chebyshev polynomials for solving higher order differential equations are presented in this paper. This technique, along with some new properties of such polynomials, will reduce the original differential equation problem to the solution of algebraic equations with a straightforward and computational digital computer. Some illustrative examples are included. The modified second kind Chebyshev polynomial is calculated using only a small number of the modified second kind Chebyshev polynomials, which leads to attractive results.