Determination of a control parameter in the two-dimensional diffusion equation

Applied Numerical Mathematics

Volumn 37, Issue 4, 2001, Pages 489-502

  Dehghan, Mehdi ^a,b  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

Alternating direction implicit method; Explicit scheme; Implicit technique; Numerical integration procedure; Second order accuracy; Source parameter; Two dimensional diffusion

Indexed keywords

FINITE DIFFERENCE METHOD; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS;

TWO DIMENSIONAL DIFFUSION;

DIFFUSION;

EID: 0035370485     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(00)00057-X     Document Type: Article

References (21)

1. Determination of parameter p(t) in some quasi-linear parabolic differential equations
2. Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
3. An inverse problem of finding a parameter in a semi-linear heat equation
4. Determination of source parameter in parabolic equations
5. On a class of non-classical parabolic problems
6. Numerical solution of some parabolic inverse problems
7. Extension of a property of the heat equation to linear thermoelasticity and other theories
8. Implicit locally one-dimensional methods for two-dimensional diffusion with a non-local boundary condition
9. A finite difference method for a non-local boundary value problem for 2-dimensional heat equation
10. Implicit two-level finite-differences methods for the two-dimensional diffusion equation
11. Determination of the evolution parameter of an equation and inverse problems of mathematical physics, Part I
12. Part II
13. Solvability of the inverse boundary value problem of finding a coefficient of a lower order term in a parabolic equation
14. Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data
15. Numerical solutions of two inverse problems for identifying control parameters in 2-dimensional parabolic partial differential equations
16. A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equations
17. The modified equation approach to the stability and accuracy analysis of finite-difference methods