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Numerical solution of integro‐differential equations by using rationalized Haar functions method

K. Maleknejad (School of Mathematics, Iran University of Science and Technology, Tehran, Iran)
F. Mirzaee (School of Mathematics, Iran University of Science and Technology, Tehran, Iran)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 December 2006

526

Abstract

Purpose

The purpose of this paper is to develop rationalized Haar functions to approximate the solutions of the integro‐differential equations.

Design/methodology/approach

Properties of rationalized Haar functions are first presented, and the operational matrix of the product of two rationalized Haar functions vector is utilized to reduce the computation of integro‐differential equations to some algebraic equations.

Findings

Numerical results support the theoretical results.

Originality/value

Presents a method for solving integro‐differential equations.

Keywords

Citation

Maleknejad, K. and Mirzaee, F. (2006), "Numerical solution of integro‐differential equations by using rationalized Haar functions method", Kybernetes, Vol. 35 No. 10, pp. 1735-1744. https://doi.org/10.1108/03684920610688694

Publisher

:

Emerald Group Publishing Limited

Copyright © 2006, Emerald Group Publishing Limited

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