Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations.

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Bibliographic Details
Title:	Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations.
Authors:	Murugan, S. Pitchai¹ murugans@nc.amrita.edu, Amritha, P. G.² amrithapg29@gmail.com, Sathidevi, C.³ sathidevi@am.amrita.edu
Source:	IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1585-1592. 8p.
Subjects:	Volterra equations, Wavelets (Mathematics), Numerical analysis, MatLab (Computer software)
Abstract:	In this article, we propose numerical techniques for solving Mixed Volterra-Fredholm integral equations using Quadratic Legendre Multi Wavelets. The unknown function in the integral equation is approximated by a truncated quadratic Legendre multiwavelet expansion. The obtained approximation transforms the original integral equation into a system of algebraic equations, from which the multiwavelet coefficients are calculated in MATLAB. Additionally, a convergence analysis of the proposed approach is provided. Several numerical examples are given to demonstrate the proposed method's accuracy and efficiency by comparing it to exact solutions as well as results achieved using other methods such as the Haar, spline and Legendre wavelet approaches. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	In this article, we propose numerical techniques for solving Mixed Volterra-Fredholm integral equations using Quadratic Legendre Multi Wavelets. The unknown function in the integral equation is approximated by a truncated quadratic Legendre multiwavelet expansion. The obtained approximation transforms the original integral equation into a system of algebraic equations, from which the multiwavelet coefficients are calculated in MATLAB. Additionally, a convergence analysis of the proposed approach is provided. Several numerical examples are given to demonstrate the proposed method's accuracy and efficiency by comparing it to exact solutions as well as results achieved using other methods such as the Haar, spline and Legendre wavelet approaches. [ABSTRACT FROM AUTHOR]
ISSN:	19929978