Smoothing of Crank-Nicolson method for 2-D inhomogeneous parabolic problems with nonlocal boundary conditions
Document Type
Conference Proceeding
Publication Date
11-18-2009
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. © 2008 Crown Copyright.
Recommended Citation
Siddique, Mohammad, "Smoothing of Crank-Nicolson method for 2-D inhomogeneous parabolic problems with nonlocal boundary conditions" (2009). College of Health, Science, and Technology. 280.
https://digitalcommons.uncfsu.edu/college_health_science_technology/280