A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems

DOI10.1080/00207160.2012.680448zbMath1258.65099OpenAlexW2152371030MaRDI QIDQ4903508

B. Tomas Johansson, Thomas Reeve, Daniel Lesnic

Publication date: 22 January 2013

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

Full work available at URL: https://doi.org/10.1080/00207160.2012.680448

zbMATH Keywords

heat conductionmethod of fundamental solutions (MFS)radially symmetric heat equationaxisymmetric heat equationbackward inverse problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) Theoretical approximation in context of PDEs (35A35)

Related Items (11)

Terminal value problem for nonlinear parabolic equation with Gaussian white noise ⋮ Identification of the initial condition in backward problem with nonlinear diffusion and reaction ⋮ Regularization method for the radially symmetric inverse heat conduction problem ⋮ Regularization of the backward stochastic heat conduction problem ⋮ TERMINAL VALUE PROBLEM FOR STOCHASTIC FRACTIONAL EQUATION WITHIN AN OPERATOR WITH EXPONENTIAL KERNEL ⋮ An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder ⋮ Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise ⋮ The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder ⋮ Source identification problems for radially symmetric and axis-symmetric heat conduction equations ⋮ Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system ⋮ Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem

Cites Work

• Unnamed Item
• Unnamed Item
• A method of fundamental solutions for transient heat conduction in layered materials
• A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy
• A time-marching MFS scheme for heat conduction problems
• A method of fundamental solutions for transient heat conduction
• A new algorithm for direct and backward problems of heat conduction equation
• A comparative study on applying the method of fundamental solutions to the backward heat conduction problem
• A method of fundamental solutions for the one-dimensional inverse Stefan problem
• Source term identification for an axisymmetric inverse heat conduction problem
• Unique continuation for some evolution equations
• A formulation of the boundary element method for axisymmetric transient heat conduction
• The method of fundamental solutions for elliptic boundary value problems
• Initial inverse problem in heat equation with Bessel operator
• Time-dependent fundamental solutions for homogeneous diffusion problems
• A method of fundamental solutions for two-dimensional heat conduction
• Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions
• Methods of fundamental solutions for time-dependent heat conduction problems
• Regularization of parabolic equations backward in time by a non-local boundary value problem method
• The method of fundamental solutions for the backward heat conduction problem
• A DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCP
• A procedure for determining a spacewise dependent heat source and the initial temperature
• A method for the approximate solution of limiting problems in mathematical physics

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