Solving two typical inverse Stefan problems by using the Lie-group shooting method
DOI10.1016/J.IJHEATMASSTRANSFER.2011.01.009zbMath1217.80120OpenAlexW2020700706WikidataQ115352232 ScholiaQ115352232MaRDI QIDQ547719
Publication date: 24 June 2011
Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)
Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242487/-1/145.pdf
heat flux identificationLie-group shooting methodinverse Stefan problemsmoving boundary identificationtime-dependent boundary
Stefan problems, phase changes, etc. (80A22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems in thermodynamics and heat transfer (80A23)
Related Items (6)
Cites Work
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- The method of fundamental solutions for free surface Stefan problems
- The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions
- A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity
- Cone of non-linear dynamical system and group preserving schemes
- A new shooting method for quasi-boundary regularization of backward heat conduction problems
- An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature
- Solving an inverse Sturm-Liouville problem by a Lie-group method
- A new application of He's variational iteration method for the solution of the one-phase Stefan problem
- One-step GPS for the estimation of temperature-dependent thermal conductivity
- A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data
- A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
- Group preserving scheme for backward heat conduction problems
- An Efficient Simultaneous Estimation of Temperature-Dependent Thermophysical Properties
- A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory
- The Lie-Group Shooting Method for Computing the Generalized Sturm-Liouville Problems
- A Lie-Group Shooting Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville Problems
- A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics
- A group preserving scheme for inverse heat conduction problems
- An Efficient Backward Group Preserving Scheme for the Backward in Time Burgers Equation
- Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems
- A computational method for inverse free boundary determination problem
- Boundary estimation problems arising in thermal tomography
- Space marching difference schemes in the nonlinear inverse heat conduction problem
- Boundary shape identification problems in two-dimensional domains related to thermal testing of materials
- Asymptotic results for the Stefan problem with kinetic undercooling
- Numerical solution of the sideways heat equation by difference approximation in time
- Identification of temperature‐dependent thermophysical properties in a partial differential equation subject to extra final measurement data
- General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary
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