Identifying a control function in parabolic partial differential equations from overspecified boundary data
From MaRDI portal
Publication:2458734
DOI10.1016/j.camwa.2006.01.018zbMath1121.93019OpenAlexW1963908997MaRDI QIDQ2458734
Publication date: 2 November 2007
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.01.018
Adomian decomposition methodclosed form solutioncontrol functionquasilinear parabolic partial differential equationsenergy overspecification
Control/observation systems governed by partial differential equations (93C20) System identification (93B30)
Related Items
Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition, Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data, DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs, Optimal control systems by time-dependent coefficients using CAS wavelets, Application of sinc-collocation method for solving an inverse problem
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- A review of the decomposition method in applied mathematics
- New results for convergence of Adomian's method applied to integral equations
- Determination of source parameter in parabolic equations
- The decomposition approach to inverse heat conduction
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to differential equations
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
- Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method.
- Approximate solutions to boundary value problems of higher order by the modified decomposition 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
- Determination of a control function in three-dimensional parabolic equations
- New ideas for proving convergence of decomposition methods
- The one-dimensional heat equation subject to a boundary integral specification
- 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
- Determination of a parameter p(t) in some quasi-linear parabolic differential equations
- Numerical solutions of some parabolic inverse problems
- Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Analytical and Numerical Solutions for a Class of Nonlocal Nonlinear Parabolic Differential Equations
- The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications
- New numerical study of Adomian method applied to a diffusion model
- A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
- The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure
- A computational approach to the wave equations
- Numerical Solution of Laplace Equation in a Disk using the Adomian Decomposition Method
- Determination of a control parameter in the two-dimensional diffusion equation