Fakhar-Izadi, F. and Dehghan, M. (2011) An Efficient Pseudo-Spectral Legendre Galarkin Method for Solving a Nonlinear Integro-Differetial Equations Arising in Population Dynamics. Mathematical Method for Applied Sciences, 30, 1485-1511.
https://doi.org/10.1002/mma.2698

has been cited by the following article:

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

  AUTHORS: Omotayo Adebayo Taiwo, Liman Kibokun Alhassan, Olutunde Samuel Odetunde, Olatayo Olusegun Alabi

  KEYWORDS: Galerkin Method, Integro-Differential Equation, Orthogonal Polynomials, Basis Function, Approximate Solution

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.12 No.2, June 30, 2023

  ABSTRACT: 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.