Galerkin Method for Numerical Solution of Volterra Integro-Differential Equations with Certain Orthogonal Basis Function  

作　　者：Omotayo Adebayo Taiwo Liman Kibokun Alhassan Olutunde Samuel Odetunde Olatayo Olusegun Alabi Omotayo Adebayo Taiwo;Liman Kibokun Alhassan;Olutunde Samuel Odetunde;Olatayo Olusegun Alabi(Department of Mathematics, University of Ilorin, Ilorin, Nigeria;Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria;Department of Statistics, Federal University of Technology, Akure, Nigeria)

机构地区：[1]Department of Mathematics, University of Ilorin, Ilorin, Nigeria [2]Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria [3]Department of Statistics, Federal University of Technology, Akure, Nigeria

出　　处：《International Journal of Modern Nonlinear Theory and Application》2023年第2期68-80,共13页现代非线性理论与应用（英文）

摘　　要：This paper concerns the implementation of the orthogonal polynomials using the Galerkin method for solving Volterra integro-differential and Fredholm integro-differential equations. The constructed orthogonal polynomials are used as basis functions in the assumed solution employed. Numerical examples for some selected problems are provided and the results obtained show that the Galerkin method with orthogonal polynomials as basis functions performed creditably well in terms of absolute errors obtained.This paper concerns the implementation of the orthogonal polynomials using the Galerkin method for solving Volterra integro-differential and Fredholm integro-differential equations. The constructed orthogonal polynomials are used as basis functions in the assumed solution employed. Numerical examples for some selected problems are provided and the results obtained show that the Galerkin method with orthogonal polynomials as basis functions performed creditably well in terms of absolute errors obtained.

关 键 词：Galerkin Method Integro-Differential Equation Orthogonal Polynomials Basis Function Approximate Solution 

分 类 号：O17[理学—数学]