Inverse Problems in Science and Engineering · 2010 · 32 citations · 8 references
Natural SciencesComputational EngineeringPhysicsComputational Heat TransferDifferential EquationsHeat TransferFinite Difference MethodsInverse Heat TransferInverse ProblemsNumerical AlgorithmsNumerical Methods For Differential EquationsPartial Differential EquationsFinite Difference DiscretizationFinite Difference SchemesInverse Heat ConductionInverse Heat Conduction ProblemsInverse Radiative Heat TransferOrdinary Differential Equation SystemsRegularizationRegularization Techniques
This study is motivated by a desire to obtain a numerical approach combining the use of the finite difference method with the solution of ordinary differential equation proposed for the determination of unknown coefficient in an inverse heat conduction problem.To regularize the resultant ill-conditioned linear system of equations, we apply the Tikhonov regularization method to obtain the stable numerical approximation to the solution.
8