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A New Algorithm for System of Integral Equations

Abdujabar RasulovDepartment of Mathematical Modeling and Informatics, University of World Economy and Diplomacy, 100077 Tashkent, UzbekistanAdem KılıçmanDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaZ. K. EshkuvatovDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaGulnora RaimovaDepartment of Mathematical Modeling and Informatics, University of World Economy and Diplomacy, 100077 Tashkent, Uzbekistan
Abstract and Applied Analysisjournal2014en
ABI

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.

Topics

Differential Equations and Boundary Problemsadvanced mathematical theoriesDifferential Equations and Numerical Methods

Identifiers

DOI
10.1155/2014/236065

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