A 4^th order Lo - Stable Padé scheme for two - Dimensional parabolic partial differential equation with nonlocal boundary condition

Authors

Mohammad Siddique, Fayetteville State University
Raphael Okojie, Fayetteville State University

Document Type

Conference Proceeding

Publication Date

1-1-2011

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.

Recommended Citation

Siddique, Mohammad and Okojie, Raphael, "A 4^th order Lo - Stable Padé scheme for two - Dimensional parabolic partial differential equation with nonlocal boundary condition" (2011). College of Health, Science, and Technology. 276.
https://digitalcommons.uncfsu.edu/college_health_science_technology/276