Solving the inverse problem of identifying an unknown source term in a parabolic equation
type: Item
instance of: scholarly article
title: Solving the inverse problem of identifying an unknown source term in a parabolic equation
zbMATH Open document ID: 1201.65175
publication date: 2010-12-14T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 5826497
zbMATH Keywords: parabolic equation
zbMATH Keywords: inverse problem
zbMATH Keywords: unknown source term
zbMATH Keywords: weighted homotopy analysis method
zbMATH Keywords: series solution
author: Abdollah Shidfar
author: Afshin Babaei
author: A. Molabahrami
MaRDI profile type: Publication
full work available at URL: j.camwa.2010.06.002
OpenAlex ID: W2033615105
cites work: Q3562661
cites work: Source term identification for an axisymmetric inverse heat conduction problem
cites work: On the unique solvability of an inverse problem for parabolic equations under a final overdetermination condition
cites work: Structural identification of an unknown source term in a heat equation
cites work: On problems of determining the source function in a parabolic equation
cites work: Numerical method of identification of an unknown source term in a heat equation
cites work: Numerical solution of the inverse problem of determining an unknown source term in a two-dimensional heat equation
cites work: The boundary-element method for the determination of a heat source dependent on one variable
cites work: Application of the variational iteration method to inverse heat source problems
cites work: Q5562267
cites work: On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
cites work: On the homotopy analysis method for nonlinear problems.
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: A series solution of the nonlinear Volterra and Fredholm integro-differential equations
cites work: A study on the PDEs with power-law nonlinearity
cites work: A weighted algorithm based on the homotopy analysis method: application to inverse heat conduction problems
cites work: Approximate analytical solutions of systems of PDEs by homotopy analysis method
cites work: The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method
cites work: Approximate solutions to a parameterized sixth order boundary value problem
cites work: Probability-one homotopies in computational science
cites work: Globally convergent homotopy methods: A tutorial
cites work: Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
cites work: Modern homotopy methods in optimization
cites work: A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations
DOI: 10.1016/J.CAMWA.2010.06.002
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5826497