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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Summary: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, especially for the treatment of the source term and the unknown boundary conditions. Numerical results show that our method is more effective.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.09.032