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
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
