Time- or space-dependent coefficient recovery in parabolic partial differential equation for sensor array in the biological computing
type: Item
instance of: scholarly article
title: Time- or space-dependent coefficient recovery in parabolic partial differential equation for sensor array in the biological computing
zbMATH Open document ID: 1394.65094
DOI: 10.1155/2015/573932
author: Guanglu Zhou
author: Boying Wu
author: Wen Ji
author: Seungmin Rho
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This study presents numerical schemes for solving a parabolic partial differential equation with a time- or space-dependent coefficient subject to an extra measurement. Through the extra measurement, the inverse problem is transformed into an equivalent nonlinear equation which is much simpler to handle. By the variational iteration method, we obtain the exact solution and the unknown coefficients. The results of numerical experiments and stable experiments imply that the variational iteration method is very suitable to solve these inverse problems.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 6926681
Wikidata QID: Q59119390
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/573932
OpenAlex ID: W1972005604
cites work: An inverse problem of finding a source parameter in a semilinear parabolic equation
cites work: Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
cites work: Parameter determination in a partial differential equation from the overspecified data
cites work: Recovering a time dependent coefficient in a parabolic differential equation
cites work: Q4256419
cites work: Determination of an unknown coefficient in a parabolic differential equation
cites work: Numerical solutions of some parabolic inverse problems
cites work: Q4459630
cites work: Solution of a Parabolic Equation with a Time-Dependent Coefficient and an Extra Measurement Using the Decomposition Procedure of Adomian
cites work: Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method
cites work: Direct numerical method for an inverse problem of a parabolic partial differential equation
cites work: The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
cites work: Identifying the diffusion coefficient by optimization from the final observation
cites work: An iterative procedure for determining an unknown spacewise-dependent coefficient in a parabolic equation
cites work: Identification of a discontinuous source in the heat equation
cites work: Source term identification in 1-D IHCP
cites work: Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
cites work: Two regularization strategies for an evolutional type inverse heat source problem
cites work: Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
cites work: Regularization algorithm within two parameters for the identification of the heat conduction coefficient in the parabolic equation
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: Variational iteration method -- some recent results and new interpretations
cites work: Rational approximation solution of the foam drainage equation with time‐ and space‐fractional derivatives
cites work: Variational iteration method for Hirota‐Satsuma coupled KdV equation using auxiliary parameter
cites work: Modified variational iteration method for solving a neutral functional‐differential equation with proportional delays
cites work: Application of the variational iteration method to inverse heat source problems
cites work: Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
cites work: The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration method
cites work: A short remark on fractional variational iteration method
cites work: Asymptotic methods for solitary solutions and compactons
description: scientific article; zbMATH DE number 6926681