Stable discrete solution of coupled singular mixed partial differential problems

Abstract

This paper deals with the construction of stable discrete numerical solutions of strongly coupled singular diffusion mixed partial differential problems. 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, algorithm and example are given.

Keywords:

• Matrix difference scheme
• Numerical solution
• Strongly coupled system
• Stability

C.R. Category:

• G.1.8