Numerical methods for two-dimensional parabolic inverse problem with energy overspecification

DOI10.1080/00207160108805077zbMath0986.65085OpenAlexW2045502523WikidataQ126245580 ScholiaQ126245580MaRDI QIDQ2752284

Mehdi Dehghan

Publication date: 16 October 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805077

zbMATH Keywords

stabilityinverse problemnumerical experimentsdiffusion equationfinite-difference schemesCrank-Nicolson implicit schemeenergy overspecificationbackward time centred space formulaforward time centred space explicit formula

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions ⋮ Computational determination of the lowest order coefficient in a parabolic equation ⋮ Computational identification of the lowest space-wise dependent coefficient of a parabolic equation ⋮ A scheme for solving two models of the two-dimensional inverse problem ⋮ Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition

Cites Work

• Unnamed Item
• An inverse problem of finding a parameter in a semi-linear heat equation
• A class of nonlinear non-classical parabolic equations
• Diffusion subject to the specification of mass
• Parameter determination in parabolic partial differential equations from overspecified boundary data
• Determination of source parameter in parabolic equations
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• A finite difference method for a non-local boundary value problem for two-dimensional heat equation
• The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Numerical solutions of some parabolic inverse problems
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Explictt two-level finite-difference methods for the two-dimensional diffusion equation
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation

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