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Home > Archives > Volume 18, No 7 (2020) > Article

DOI: 10.14704/nq.2020.18.7.NQ20190

Haar Wavelet Collocation Technique for Solving Linear Volterra Integro Differential Equations

Intisar Swedain Ali

Abstract

Operational style is based on representing different integro-differential mathematical functions in terms of matrices. In this research, Haar wavelet collocation points and operational matrix are used for solving Volterra integrodifferential equations. A modified computational method is elucidated to resolve Volterra integro-differential equations (VIDE). The integro-differential and integral equations are converted with initial conditions to a linear system of algebraic equations; where the interval expanded to, as noted in the examples. Illustrations are supplied with the help of three representation examples by appropriate comparisons with exact solutions. In addition, the simulation result indicate the accuracy can be enhanced by increasing the Haar wavelet resolution.

Keywords

Approximation Solutions, Collocation Points Method, Haar Wavelets, Volterra Integro-differential Equations.

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