A New Algorithm for System of Integral Equations-Reference-Cited by-同舟云学术

A New Algorithm for System of Integral Equations

Published:2014 Issue: Volume:2014 Page:1-12
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Rasulov Abdujabar¹,Kilicman Adem²,Eshkuvatov Zainidin²,Raimova Gulnora¹

Affiliation:

1. Department of Mathematical Modeling and Informatics, University of World Economy and Diplomacy, 100077 Tashkent, Uzbekistan

2. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Abstract

We develop a new algorithm to solve the system of integral equations. In this new method no need to use matrix weights. Beacause of it, we reduce computational complexity considerable. Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. To verify the efficiency, the results of computational experiments are given.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/236065.pdf

Reference24 articles.

1. Theory and Applications of Convolution Integral Equations

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3. Collocation Methods for Volterra Integral and Related Functional Differential Equations

4. Computational Methods for Integral Equations

5. Numerical solving initial value problem for Fredholm type linear integro-differential equation system

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