Title :
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
fDate :
March 31 2009-April 2 2009
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;
Conference_Titel :
Computer Science and Information Engineering, 2009 WRI World Congress on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-0-7695-3507-4
DOI :
10.1109/CSIE.2009.176
