On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region

We consider the initial boundary value problem for the heat equation in a region with infinite and finite boundaries (direct problem) and the related problem to reconstruct the finite boundary from Cauchy data on the infinite boundary (inverse problem). The numerical solution of the direct problem i...

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Vydáno v:	Journal of computational and applied mathematics Ročník 108; číslo 1; s. 41 - 55
Hlavní autor:	Chapko, Roman
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 15.08.1999 Elsevier
Témata:	Collocation method Exact sciences and technology Green's function Heat equation Initial boundary value problem Integral equation Inverse boundary problem Mathematical analysis Mathematics Newton method Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Regularization Sciences and techniques of general use Semi-infinite region Trigonometric interpolation Trigonometric interpolation Initial boundary value problem Heat equation Semi-infinite region Inverse boundary problem Green's function Integral equation Collocation method Newton method Regularization Sobolev space Initial value problem Green function Uniqueness theorem Partial differential equation Convergence Inverse problem Direct problem Interpolation Boundary value problem
ISSN:	0377-0427, 1879-1778
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