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Journal of Interdisciplinary Mathematics cover

Journal of Interdisciplinary Mathematics

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502
CiteScore 2025: 1.9 (Q2)

CiteScore 2025: 1.9 (Q2)

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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Journal of Interdisciplinary Mathematics
Open Access Research Article

Proposing an effective numerical algorithm based on analysis to solve two-dimensional Friedholm equations

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pp. 1145–1154Vol. 28Issue 3-BApril 2025DOI: 10.47974/JIM-2225XML
Received:
10 Dec 2024
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2225
Pages:
1145–1154

Abstract

In order to solve 2-Dimention Fredholm integral formulas, a brand-new and effective numerical approach based on interpolating scaled functions is devised. FIE simplifies to the set for algebraic equation which solved to approximate the solution using functional matrices of integral for combining scaling variables. A convergence method is examined, and certain numerical tests support the precision and applicability of the approach. We contrast the proposed strategy with others to demonstrate its effectiveness.

Keywords

Dimention friedholm integral equationsScaled functionsThe functional matrices of integralLegendre equations

Subject Classifications

Primary 65DxxSecondary 65Rxx

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