The Determination Of A Control Parameter In A Two-Dimensional Diffusion Equation Using A Dual-Reciprocity Boundary Element Method

DOI10.1080/00207160304662zbMath1013.65105OpenAlexW2027169450MaRDI QIDQ4796495

Whye-Teong Ang, Mehdi Dehghan, Keng-Cheng Ang

Publication date: 26 June 2003

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

Full work available at URL: https://doi.org/10.1080/00207160304662

zbMATH Keywords

inverse problemdiffusion equationnon-local conditiontest problemcontrol functiondual-reciprocity boundary element method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) 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 (6)

DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs ⋮ Non-steady state heat conduction across an imperfect interface: a dual-reciprocity boundary element approach ⋮ A dual-reciprocity boundary element solution of a generalized nonlinear Schrödinger equation ⋮ A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy ⋮ A greedy MLPG method for identifying a control parameter in 2D parabolic PDEs ⋮ Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method

Cites Work

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• Explicit finite difference methods for two-dimensional diffusion with non-local boundary condition
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• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass
• A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition
• Determination of a control parameter in the two-dimensional diffusion equation
• A boundary integral method for the three-dimensional heat equation subject to specification of energy

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