Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition
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Publication:4934821
DOI10.1080/00207169908804858zbMath0949.65085OpenAlexW1974709654MaRDI QIDQ4934821
Publication date: 21 November 2000
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169908804858
heat equationdiffusion equationADI methodsalternating direction implicit methodsnon-local boundary condition
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10)
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Cites Work
- Unnamed Item
- Diffusion subject to the specification of mass
- The modified equation approach to the stability and accuracy analysis of finite-difference methods
- A numerical procedure for diffusion subject to the specification of mass
- Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations
- An implicit finite difference scheme for the diffusion equation subject to mass specification
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
- The solution of the diffusion equation in two space variables subject to the specification of mass
- A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
- Modified Locally One Dimensional Methods for Parabolic Partial Differential Equations in Two Space Variables
- New lod and adi methods for the two-dimensional diffusion equation
- A New Computational Procedure for A.D.I. Methods
