Title of article
Jacobi Wavelets Method for Numerical Solution of Weakly Singular Volterra Integral Equation
Author/Authors
Mahmoudi ، Yaghoub Department of Mathematics - Islamic Azad University, Tabriz Branch , Rahrovi ، Yahya Department of Mathematics - Islamic Azad University, Tabriz Branch , Salimi Shamloo ، Ali Department of Mathematics - Islamic Azad University, Shabestar Branch , Jahangiri Rad ، Mohammad Department of Mathematics - Islamic Azad University, Tabriz Branch , Fathizade ، Einollah Department of Mathematics - Islamic Azad University, Karaj Branch
From page
243
To page
262
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
Journal title
Global Analysis and Discrete Mathematics
Journal title
Global Analysis and Discrete Mathematics
Record number
2712497
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