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An efficient approach for the numerical solution of Fredholm Integro-differential equations

Year: 2025

Type: article

Abstract: In this paper, we consider the collocation approach for the numerical solution of Fredholm integro-differential equations using power series polynomial as our basis function. After obtaining an integral representation of the problem, we used standard collocation points to transform the problem into a system of linear algebraic equations. We adopted the matrix inversion method to solve the algebraic equation and substituted the result of the algebraic into the approximate solution to obtain the numerical result. Some numerical problems are solved to show the method's efficiency and consistency.

Source: Nigerian Journal of Basic and Applied Sciences

DOI: 10.4314/njbas.v31i2.4

Authors: G. Ajileye, S.A. Amoo, A.A. James, T. Oyedepo

Institutions: Federal University Wukari, American University of Nigeria, Federal University of Allied Health Sciences, Enugu

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409444647

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