Fully Implicit Differences Method for Solving Couple Parabolic System with Variable Coefficients
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Keywords:
Coupled linear Parabolic System, Consistency Fully implicit finite difference method, Stability, Variable CoefficientsAbstract
This article concerns with introducing new technique to solve a new type of PDE described by coupled parabolic system with variable coefficients (CPSVC) by utilizing the fully finite implicit differences method (FFIDM). At each discrete value of time the proposed technique is used to transform the CPSVC into a couple linear algebraic system (CLS) that they are solved using the Gauss elimination method (GEM) to get the numerical couple solution (NCS) for the problem. The consistency of the method is studied so as the stability. Some examples are given and the results are described by tables and figures to illustrate the accuracy for the proposed technique, it is concluded that this method is accurate and suitable for solving such systems
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