A 4th order Lo - Stable Padé scheme for two - Dimensional parabolic partial differential equation with nonlocal boundary condition
Abstract
In this work we present 4th order Lo-stable Padé scheme for the numerical solution of two-dimensional diffusion equation subject to nonlocal boundary conditions. The numerical scheme is based on Padé approximation to the matrix exponential function possessing complex and distinct poles. The Lo - stable Padé numerical scheme is strongly stable and highly accurate. The numerical results show that the Padé approximation based Lo-stable numerical scheme is quite accurate and easily implemented.
This paper has been withdrawn.