Jacobi Wavelets Method for Numerical Solution of Weakly Singular Volterra Integral Equation

Document Type : Research Paper

Authors

1 Math Department, Tabriz Branch, Islamic Azad University

2 Math Department, Tabriz Branch, Islamic Azad University, Tabriz, Iran

3 Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran

4 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

5 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract

In this paper, the first and second kind weakly singular Volterra integral equations are approximated by using the Jacobi wavelets method. First, the operational matrices for fractional integration and product for Jacobi wavelets are computed with a new matrix approach, and then, it applied to solve numerically the first and second kind Volterra integral equations involving singularity. Illustrative numerical experiments with comparison are included to indicate the validity and practicability of the method.

Keywords

References

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Global Analysis and Discrete Mathematics
Volume 6, Issue 2
November 2021
Pages 243-262

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History

  • Receive Date: 07 January 2022
  • Revise Date: 15 February 2022
  • Accept Date: 23 February 2022

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