Applied Mathematics & Information Sciences

Author Country (or Countries)

South Africa


An initial-boundary value problem for a system of decoupled two nonlinear time-dependent Joule heating equations is studied. Instead of well-known standard techniques, we design a reliable scheme consisting of coupling the non-standard finite difference (NSFD) method in time and finite element method (FEM) in space. We prove the rate of convergence for the fully-discrete scheme in both H1 as well as the L2-norms. Furthermore, we show that the above scheme preserves the properties of the exact solution. Numerical experiments are provided to confirm our theoretical analysis.

Digital Object Identifier (DOI)