Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
Articles
Mifodijus Sapagovas
Vilnius University, Lithuania
Kristina Jakubėlienė
Vilnius University, Lithuania
Published 2012-01-25
https://doi.org/10.15388/NA.17.1.14080
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Keywords

parabolic equation
nonlocal integral condition
alternating-direction method
finite difference method

How to Cite

Sapagovas, M. and Jakubėlienė, K. (2012) “Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition”, Nonlinear Analysis: Modelling and Control, 17(1), pp. 91–98. doi:10.15388/NA.17.1.14080.

Abstract

Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain. Because of this nonlocal condition, the classical alternating direction method is complemented by the solution of low dimension system of algebraic equations. The peculiarities of the method are considered.

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