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Can I read Fully Implicit Finite Differences Methods for Two-dimensional Diffusion with a Non-local Boundary Condition on EtoBox?
Fully Implicit Finite Differences Methods for Two-dimensional Diffusion with a Non-local Boundary Condition by Mehdi Dehghan is a Mathematics article available to read on EtoBox.
What is Fully Implicit Finite Differences Methods for Two-dimensional Diffusion with a Non-local Boundary Condition about?
Three new fully implicit methods which are based on the (5,5) Crank-Nicolson method, the (5,5) N-H (Noye-Hayman) implicit method and the (9,9) N-H implicit method are developed for solving the heat equation in two dimensional space with non-local boundary conditions. The latter is fourth-order while the others are second-order. While the implicit methods developed here, like the scheme based on the standard implicit backward time centered space (BTCS) method, use a large amount of central processor (CPU) time, the high accuracy of the new fourth-order fully implicit scheme is significant. Like the BTCS method, the new methods are also unconditionally stable.
Who reads Fully Implicit Finite Differences Methods for Two-dimensional Diffusion with a Non-local Boundary Condition?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Mehdi Dehghan
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 1999
- Language
- EN
- Field
- Mathematics (Physical Sciences)