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Explicit solution of two-dimensional diffusion subject to specification of mass

✍ Scribed by B.J. Noye; M. Dehghan

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
520 KB
Volume
37
Category
Article
ISSN
0378-4754

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✦ Synopsis

An explicit finite difference scheme for the numerical solution of the diffusion equation on a rectangular region, subject to a non-local boundary condition in the form of a double integral which simulates the specification of mass in a curved region is developed. The scheme, is based on the two-dimensional 5point Forward-time Centered-Space (FJES) explicit formula. This method is simple in structure, is economical to use and is second-order, with a bounded range of stability. Some numerical tests are presented and the accuracy obtained and the CPU times required are compared to those found using the method described by Cannon, Lin and Matheson.

πŸ“œ SIMILAR VOLUMES

New explicit finite difference schemes f
New explicit finite difference schemes for two-dimensional diffusion subject to specification of mass
✍ B. J. Noye; M. Dehghan πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

Two different explicit finite difference schemes for the numerical solution of the diffusion equation on a rectangular region, subject to local or nonlocal boundary conditions, the latter involving a double integral to simulate specification of mass in a curved region, are compared. These schemes, t