NUMERICAL SOLUTION OF MIXED LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY MODIFIED BLOCK PULSE FUNCTIONS

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Published: Apr 30, 2021
DOI: https://doi.org/10.26740/jram.v5n1.p1-9
Keywords:
Integration Operational Matrix, Ito Integral, Mixed Linear Volterra-Fredholm Integral Equations, εMBPFs

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Ayyubi Ahmad
Ahmad Dahlan University

Abstract

A numerical method based on modified block pulse functions is proposed for solving the mixed linear Volterra-Fredholm integral equations. We obtain an integration operational matrix of modified block pulse functions on interval [0,T). A modified block pulse functions and their operational matrix of integration, the mixed linear Volterra-Fredholm integral equations can be reduced to a linear system of algebraic equations. The rate of convergence is O(h) and error analysis of the proposed method are discussed. Some examples are provided to show that the proposed method have a good degree of accuracy.

Article Details

Issue
Vol. 5 No. 1 (2021): April, JRAM
Section
Applied Mathematics
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