Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition

Applied Mathematics and Computation

Volumn 124, Issue 1, 2001, Pages 17-27

  Dehghan, Mehdi ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Central processor time; Diffusion equation; Finite difference schemes; Non classic boundary value problems; Numerical integration procedures

Indexed keywords

BOUNDARY VALUE PROBLEMS; EQUATIONS OF STATE; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; INTEGRATION; MICROPROCESSOR CHIPS;

UNCONDITIONAL STABILITY;

THERMAL DIFFUSION;

EID: 0035841406     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00031-X     Document Type: Article

References (13)

1. Diffusion subject to specification of mass
2. The solution of the diffusion equation in two-space variables subject to the specification of mass
3. A numerical method for the diffusion equation with nonlocal boundary specifications
4. A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equations
5. The numerical method for the conduction subject to moving boundary energy specification
6. Existence of a property of solutions of the heat equation subject to linear thermoelasticity and other theories
7. A reaction-diffusion system arising in modeling man-environment diseases
8. Monotonic decay of solutions of parabolic equation with non-local boundary conditions
9. A decreasing property of solutions of a parabolic equation with applications to thermoelasticity and other theories
10. Remark on a paper by D.A. Day on a maximum principle under non-local boundary conditions
11. Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition