Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind

被引：26
|
作者：
Sakran, M. R. A. [1 ]
机构：
[1] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 351卷
关键词：
Volterra integral equations; Singularly perturbed Volterra integral equations; Integro-ordinary differential equations in fluid dynamics; Delay integro differential equations; Chebyshev polynomials of the third kind and error analysis; SINGULAR PERTURBATION ANALYSIS; ASYMPTOTIC SOLUTION; COLLOCATION METHODS; VOLTERRA; DIFFUSION; PARTICLE; FORCES;
D O I：
10.1016/j.amc.2019.01.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this study is to construct an algorithm based on the use of a finite expansion in Chebyshev polynomials of the third kind to solve singularly perturbed Volterra integral equations, first order integro-differential equations of Volterra type arising in fluid dynamics and Volterra delay integro-differential equations. The convergence of the method is investigated. Finally, some numerical experiments, which confirm the theoretical results, are shown and comparisons with other methods in literature are given. (C) 2019 Published by Elsevier Inc.
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页码：66 / 82
页数：17
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