Special Session 79: Recent Advancements in the Numerical Analysis of Nonlinear Partial Differential Equations
Numerical Analysis of weak solutions for coupled elliptic systems with nonlinearity on the boundary
Shalmali Bandyopadhyay
University of North Carolina at Greensboro India
Co-Author(s): Thomas Lewis, Nsoki M Mavinga
Abstract:
We consider approximating weak solutions for semilinear coupled elliptic system with nonlinearity on the boundary. We approximate existence of a weak solution in between an ordered pair of sub- and supersolution. We use finite difference method to discretize the solution and establish the stability of the solution.