Monotone iterative technique for weakly coupled system of finite difference equations of time degenerate parabolic problems

Kailas S. Ahire 1 * and Dnyanoba B. Dhaigude 2

doi:10.26637/MJM0702/0007

Monotone iterative technique for weakly coupled system of finite difference equations of time degenerate parabolic problems

Authors :

Kailas S. Ahire ^{1 *} and Dnyanoba B. Dhaigude ²

Author Address :

¹ Department of Mathematics, M. S. G.College, Malegaon Camp. Dist Nashik-423105, India (M.S.)
² Department of Mathematics, Dr. Babasaheb Ambedkar, Marathwada University, Aurangabad-431004, India (M.S.)

*Corresponding author.

Abstract :

The purpose of this paper is to develop monotone iterative technique for finite difference system, which correspond to a class of semilinear weakly coupled system of time degenerate parabolic
initial boundary value problems and prove existence-comparison result.

Keywords :

Monotone iterative technique, Finite difference equations,Dirichlet initial boundary value problem, Existence-comparison result.

DOI :

10.26637/MJM0702/0007

Article Info :

Received : October 21, 2018; Accepted : March 26, 2019.