Second-order schemes for a boundary value problem with Neumann's boundary conditions

Journal of Computational and Applied Mathematics

Volumn 138, Issue 1, 2002, Pages 173-184

  Dehghan, Mehdi ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Alternating direction implicit schemes; Central processor time; Finite difference methods; Implicit techniques; Neumann's boundary conditions; Nonlocal boundary value problems; Parabolic partial differential equations; Two dimensional heat equation

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; NUMERICAL METHODS;

DIFFUSION EQUATION;

BOUNDARY VALUE PROBLEMS;

BOUNDARY CONDITIONS; FINITE DIFFERENCE TECHNIQUE;

EID: 0036148474     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00452-0     Document Type: Article

References (21)

1. Diffusion subject to specification of mass
2. A Galerkin procedure for diffusion equation with boundary integral conditions
3. The solution of the diffusion equation in two-space variables subject to the specification of mass
4. A Galerkin procedure for the diffusion equation subject to the specification of mass
5. On a class of non-classical parabolic problems
6. A reaction-diffusion system arising in modeling man-environment diseases
7. A parabolic equation with nonlocal boundary conditions arising from electrochemistry
8. Existence of a property of solutions of the heat equation to linear thermoelasticity and other theories
9. Implicit locally one-dimensional methods for two-dimensional diffusion with a non-local boundary condition
10. The reformulation and numerical solution of certain nonclassical initial-boundary value problems
11. An inverse problem for a class of quasilinear parabolic equations
12. Finite difference approximations for a class of non-local quasilinear parabolic equations
13. Implicit two-level finite-differences methods for the two-dimensional diffusion equation
14. A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions
15. The numerical method for the heat conduction subject to moving boundary energy specification
16. A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equations
17. A numerical method for the diffusion equation with nonlocal boundary specifications
18. The modified equation approach to the stability and accuracy analysis of finite difference methods