Parabolic partial differential equations with nonlocal boundary
conditions arise in modeling of a wide range of important
application areas such as chemical diffusion, thermoelasticity,
heat conduction process, control theory and medicine science.
In this paper, we present the implementation of positivity-
preserving Padé numerical schemes to the two-dimensional
diffusion equation with nonlocal time dependent boundary
condition. We successfully implemented these numerical
schemes for both Homogeneous and Inhomogeneous cases. The
numerical results show that these Padé approximation based
numerical schemes are quite accurate and easily implemented.