Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification

DOI10.1080/00207160601117420zbMath1156.65315OpenAlexW2023847797MaRDI QIDQ3438786

Mehdi Tatari, Mehdi Dehghan, Mohsen Razzaghi

Publication date: 29 May 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160601117420

zbMATH Keywords

time-dependent parameterAdomian decompositionparabolic partial differential equationtemperature overspecification

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Direct and inverse problem for the parabolic equation with initial value and time-dependent boundaries

Cites Work

• Fourth-order techniques for identifying a control parameter in the parabolic equations
• An inverse problem of finding a parameter in a semi-linear heat equation
• Convergence of Adomian's method
• Bellman-Adomian solutions of nonlinear inverse problems in continuum physics
• A class of nonlinear non-classical parabolic equations
• On the solution of a class of inverse evolution problems by a Bellman- Adomian method
• A review of the decomposition method in applied mathematics
• Determination of source parameter in parabolic equations
• The decomposition approach to inverse heat conduction
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
• Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
• Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method
• Application of the decomposition method to identify the distributed parameters of an elliptical equation
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Finding a control parameter in one-dimensional parabolic equations
• Determination of a control function in three-dimensional parabolic equations
• Parameter determination in a partial differential equation from the overspecified data
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• Numerical solutions of some parabolic inverse problems
• On a class of nonlinear parabolic equations with nonlinear trace type functionals
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications
• An application of the decomposition method for second order wave equations
• Finite difference schemes for two-dimensional parabolic inverse problem with temperature overspecification
• New numerical study of Adomian method applied to a diffusion model
• The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure
• New schemes for a two-dimensional inverse problem with temperature overspecification

This page was built for publication: Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification