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Numerical method for the solution of high order Fredholm integro-differential difference equations using Legendre polynomials

Year: 2024

Type: article

Abstract: This research paper deals with the numerical method for the solution of high-order Fredholm integro-differential difference equations using Legen-dre polynomials. We obtain the integral form of the problem, which is transformed into a system of algebraic equations using the collocation method. We then solve the algebraic equation using Newton’s method. We establish the uniqueness and convergence of the solution. Numerical problems are considered to test the efficiency of the method, which shows that the method competes favorably with the existing methods and, in some cases, approximates the exact solution.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.22067/ijnao.2024.87599.1425

Authors: P.T. Pantuvo, G. Ajileye, R. Taparki, O.O. Aduroja

Institutions: Federal University Wukari, Taraba State University, University of Ilesa

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6888734989

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