NUMERICAL SOLUTION OF TWO-DIMENSIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY CHEBYSHEV INTEGRAL OPERATIONAL MATRIX METHOD

被引：5

作者：

Ishola, Christie Yemisi ^{[1
]}

Taiwo, Omotayo Adebayo ^{[2
]}

Adebisi, Ajimot Folasade ^{[3
]}

Peter, Olumuyiwa James ^{[2
]}

机构：

[1] Natl Open Univ Nigeria, Dept Math, Abuja, Nigeria

[2] Univ Ilorin, Dept Math, Ilorin, Nigeria

[3] Osun State Univ, Dept Math Sci, Osogbo, Nigeria

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2022年 / 21卷 / 01期

关键词：

Chebyshev polynomials; operational matrix; two-dimensional; Fredholm integro-differential equations; POLYNOMIALS;

D O I：

10.17512/jamcm.2022.1.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the Chebyshev Integral Operational Matrix Method (CIOMM) for the numerical solution of two-dimensional Fredholm Integro-Differential Equations (2D-FIDEs). The process of the method is obtaining the operational matrix of integration by evaluating a 2D integral of 2D Chebyshev polynomial basis functions and assuming approximate solutions of the 2D-FIDEs as a truncated 2D Chebyshev series. This leads to a system of linear algebraic equations which are solved to obtain the values of the unknown constants using Maple 18. Some numerical problems are solved to illustrate the practicability of the method.

引用

页码：29 / 40

页数：12

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