Constructive stable numerical solutions for strongly coupled diffusion mixed partial differential systems

Abstract

This paper deals with the construction of stable discrete numerical solutions of strongly coupled diffusion mixed partial differential systems. After discretization, using a matrix difference scheme, the resulting coupled mixed partial difference problem is treated using a discrete separation of variables method which avoids solving algebraic systems. Existence, stability of solutions, its construction and illustrative examples are considered.

Keywords:

• Matrix difference scheme
• numerical solution
• strongly coupled system
• stability

C.R. Category:

• G.1.8