A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity

DOI10.1016/J.IJHEATMASSTRANSFER.2010.06.005zbMath1197.80041OpenAlexW1964010032WikidataQ115352236 ScholiaQ115352236MaRDI QIDQ709040

Chein-Shan Liu

Publication date: 15 October 2010

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/246246/242533/-1/191.pdf

zbMATH Keywords

inverse problemparameter identificationtime-dependent thermal diffusivitytwo-stage Lie-group shooting method

Mathematics Subject Classification ID

System identification (93B30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (7)

A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation ⋮ The Lie-group shooting method for solving the Bratu equation ⋮ A geometric approach for solving Troesch's problem ⋮ Modelling and simulation of a packed bed of pulp fibers using mixed collocation method ⋮ Numerical approach for solving diffusion problems using cubic B-spline collocation method ⋮ Solving two typical inverse Stefan problems by using the Lie-group shooting method ⋮ An inverse diffusion problem with nonlocal boundary conditions

Cites Work

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• 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 two-stage LGSM for three-point BVPs of second-order ODEs
• One-step GPS for the estimation of temperature-dependent thermal conductivity
• A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
• An Efficient Simultaneous Estimation of Temperature-Dependent Thermophysical Properties
• A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM
• An Efficient Backward Group Preserving Scheme for the Backward in Time Burgers Equation
• Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method
• Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
• The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data
• Identification of temperature‐dependent thermophysical properties in a partial differential equation subject to extra final measurement data

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