Jurnal Matematika Integratif
Vol 17, No 1: April 2021

Solving of Linear Volterra-Fredholm Integral Equations via Modification of Block Pulse Functions

Ayyubi Ahmad (Universitas Ahmad Dahlan Yogyakarta)

Article Info

Publish Date
05 Aug 2021

Abstract

A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T). A modification of block pulse functions and their integration operational matrix can be reduced to a linear upper triangular system. Then, the problem under study is transformed to a system of linear algebraic equations which can be used to obtain an approximate solution of  linear Volterra-Fredholm integral equations. Furthermore, the rate of convergence is  O(h) and error analysis of the proposed method are investigated. The results show that the approximate solutions have a good of efficiency and accuracy.

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Journal Info
Jurnal Matematika Integratif
Website

Abbrev

jmi

Publisher

Universitas Padjadjaran

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation

Description

Jurnal Matematika Integratif (JMI) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. JMI received a manuscript in areas of study mathematics widely, and math-based multidisciplinary studies derived ...