Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition

作者：Sapagovas Mifodijus^*; Jakubeliene Kristina

来源：Nonlinear Analysis: Modelling and Control , 2012, 17(1): 91-98.

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

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.

• 出版日期2012-2-24