Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method
DOI10.1016/j.enganabound.2014.08.009zbMath1403.65052OpenAlexW1984168761WikidataQ115353852 ScholiaQ115353852MaRDI QIDQ1653590
Publication date: 6 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.009
nonlinear Cauchy problemLie-group differential algebraic equations methodnonlinear inverse heat source problemspace-dependent heat source identification
Numerical methods for differential-algebraic equations (65L80) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (4)
Cites Work
- Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method
- The method of fundamental solutions for the inverse heat source problem
- A quasi-reversibility regularization method for an inverse heat conduction problem without initial data
- A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data
- High-order scheme for determination of a control parameter in an inverse problem from the over-specified data
- 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
- A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
- Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
- The application of the method of quasi-reversibility to the sideways heat equation
- Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
- A new sliding control strategy for nonlinear system solved by the Lie-group differential algebraic equation method
- Parameter determination in a partial differential equation from the overspecified data
- The boundary-element method for the determination of a heat source dependent on one variable
- Simultaneous determination for a space-dependent heat source and the initial data by the MFS
- The method of fundamental solutions for the inverse space-dependent heat source problem
- A GL(n,R) Differential Algebraic Equation Method forNumerical Differentiation of Noisy Signal
- Cauchy Problem for the Heat Equation in a BoundedDomainWithout Initial Value
- Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method
- A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM
- Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications
- A numerical method for solving the inverse heat conduction problem without initial value
- Structural identification of an unknown source term in a heat equation
- Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
- On problems of determining the source function in a parabolic equation
- The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data
- A procedure for determining a spacewise dependent heat source and the initial temperature
- Identification of source locations in two-dimensional heat equations
- Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications
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