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Galerkin Method for Numerical Solution of Volterra Integro-Differential Equations with Certain Orthogonal Basis Function
Department of Mathematics, University of Ilorin, Ilorin, Nigeria
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
- 1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
- 2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
- 3 Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria
- 4 Department of Statistics, Federal University of Technology, Akure, Nigeria
International Journal of Modern Nonlinear Theory and Application·Volume 12 (2023)·Pages 68–80·Published 15 June 2023·DOI10.4236/ijmnta.2023.122005
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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.
KeywordsGalerkin MethodIntegro-Differential EquationOrthogonal PolynomialsBasis FunctionApproximate Solution
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