SEMI-IMPLICIT DIFFERENCE SCHEME FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH AN INTEGRAL BOUNDARY CONDITION

Kristina Jakubėlienė, Regimantas Čiupaila, Mifodijus Sapagovas
2017 Mathematical Modelling and Analysis  
In this paper, we consider a finite difference method for a class of twodimensional parabolic equations with integral boundary conditions. The semi-implicit difference scheme is considered. The stability of difference scheme is proved using the properties of the M-matrices, particularly, the regular splitting of an M-matrix. The numerical results of some examples are presented, that approve our theoretical investigations.
doi:10.3846/13926292.2017.1342709 fatcat:mffqbtwumrds5g66wtycg2n4v4