Positivity-preserving Padé schemes for parabolic partial differential equations with nonlocal boundary condition
Document Type
Conference Proceeding
Publication Date
1-1-2009
Abstract
The 2-dimensional diffusion equations with nonlocal boundary conditions arise in modeling of a wide range of important application areas such as chemical diffusion, thermoelasticity, heat conduction process, control theory and medicine science. In this paper, we present the implementation of positivity-preserving Pade'numerical schemes to the two-dimensional diffusion equation with nonlocal time dependent boundary condition. We successfully implemented these numerical schemes for both Homogeneous and Inhomogeneous cases. The numerical results show that these Pade' approximation based numerical schemes are quite accurate and easily implemented.
Recommended Citation
Siddique, Mohammad, "Positivity-preserving Padé schemes for parabolic partial differential equations with nonlocal boundary condition" (2009). College of Health, Science, and Technology. 278.
https://digitalcommons.uncfsu.edu/college_health_science_technology/278