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

Author

Siddique, Mohammad

Author_Institution

Dept. of Math. & Comput. Sci., Fayetteville State Univ., Fayetteville, NC, USA

Volume

2

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

491

Lastpage

495

Abstract

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.

Keywords

finite difference methods; parabolic equations; partial differential equations; smoothing methods; 2-D inhomogeneous parabolic problem; Crank-Nicolson method; absolute relative error; chemical diffusion; control theory; finite difference scheme; graph; heat conduction process; inhomogeneous positively smoothed Pade scheme; medicine science; nonlocal boundary condition; thermoelasticity; two-dimensional parabolic partial differential equation; Application software; Boundary conditions; Chemical engineering; Chemical processes; Computer science; Heat engines; Mathematics; Partial differential equations; Smoothing methods; Thermoelasticity;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.176

Filename

5171387