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

Author(s):

Yaghoub Mahmoudi * , Yahya Rahrovi , Ali Salimi Shamloo , Mohammad Jahangiri Rad , Einollah Fathizade

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
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:

hybrid functions , Jacobi polynomials , operational matrix , singular Volterra integral equation , wavelets

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:6 Issue: 2, Winter and Spring 2021
Pages:
243 to 262
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