Finite volume method for solving a one-dimensional parabolic inverse problem

In this paper, finite volume method is used to solve a one-dimensional parabolic inverse problem with source term and Neumann boundary conditions for the first time. Some advantages of this approach are developing difference schemes and maintaining certain properties of the physics of the problems,...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 217; no. 12; pp. 5227 - 5235
Main Authors:	Wang, Bo, Zou, Guang-an, Zhao, Peng, Wang, Qiang
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.02.2011 Elsevier
Subjects:	Boundary conditions Computation Difference schemes Exact sciences and technology Finite volume method Inverse problem Inverse problems Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical methods in probability and statistics Parabolic partial differential equations Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Finite volume method Difference schemes Parabolic partial differential equations Inverse problem Source terms Difference scheme Initial value problem Numerical method Boundary condition Stochastic method Partial differential equation Parabolic equation Numerical analysis Boundary value problem One-dimensional calculations Applied mathematics
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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