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Smoothing of Crank-Nicolson Method for 2-D Inhomogeneous Parabolic Problems with Nonlocal Boundary Conditions

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1 Author(s)
Siddique, M. ; Dept. of Math. & Comput. Sci., Fayetteville State Univ., Fayetteville, NC, USA

Parabolic partial differential equations with nonlocal boundary conditions have important applications in chemical diffusion, thermoelasticity, heat conduction process, control theory and medicine science. This paper is concerned with the smoothing of Crank-Nicolson numerical scheme for two-dimensional parabolic partial differential equations with nonlocal boundary conditions. The graphs of smoothing of the Crank-Nicolson scheme are presented. The absolute relative error before and after smoothing show that this smoothing scheme is quite accurate for inhomogeneous parabolic problems with nonlocal boundary condition.

Published in:

Computer Science and Information Engineering, 2009 WRI World Congress on  (Volume:2 )

Date of Conference:

March 31 2009-April 2 2009