Smoothing of Crank-Nicolson Method for 2-D Inhomogeneous Parabolic Problems with Nonlocal Boundary Conditions
Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.176
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.
M. Siddique, "Smoothing of Crank-Nicolson Method for 2-D Inhomogeneous Parabolic Problems with Nonlocal Boundary Conditions," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 491-495.