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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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

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Open Access Research Article

Second kind Chebyshev polynomials for solving logarithmic Volterra-Fredholm integral equations

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pp. 85–94Vol. 29Issue 1January 2026DOI: 10.47974/JIM-2189XML
Received:
10 Jul 2024
Published Online:
05 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2189
Pages:
85–94

Abstract

It is known that the logarithmic Volterra integral equations are so hard to find its exact analytic solution, so we are obliged to find a new numerical method strong and reliable.. In this work, we develop a technical approximation to obtain a numerical solution of the logarithmic Volterra and Fredholm integral equations, This new approximation is based on the Shifted second Chebyshev polynomials the unknown function will be approximated by a truncated sum of shifted Chebyshev Polynomials. our spectral method sends the given equation into an algebraic system of equations with the unknown expansion coefficients. The convegence, the efficiency and the high accuracy of this method are realized by many examples.

Keywords

Subject Classifications

45B0545D0545L0545E10

References

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