Fourth order positively smoothed Padé schemes for parabolic partial differential equations with nonlocal boundary conditions

Document Type

Article

Publication Date

9-29-2010

Abstract

Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process, control theory and medicine science. This paper deals with the successful implementation of the positively smoothed Padé schemes (PSP) to two-dimensional parabolic partial differential equations with nonlocal boundary conditions. We considered both Homogeneous and Inhomogeneous cases. The numerical results show that these numerical schemes are quite accurate.

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