INverse problem of identifying a time-dependent coefficient and free boundary in heat conduction equation by using the meshless local Petrov-Galerkin (MLPG) method via moving least squares approximation
DOI10.2298/FIL2010319KzbMath1499.65471OpenAlexW3137642096MaRDI QIDQ5081180
Saeid Abbasbandy, Akbar Karami, Elyas Shivanian
Publication date: 13 June 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil2010319k
Numerical optimization and variational techniques (65K10) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
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- The improved element-free Galerkin method for three-dimensional wave equation
- The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
- The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems
- Solving two typical inverse Stefan problems by using the Lie-group shooting method
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
- A method of fundamental solutions for the one-dimensional inverse Stefan problem
- Element-free Galerkin methods for static and dynamic fracture
- Multiple time-dependent coefficient identification thermal problems with a free boundary
- Direct and inverse one-phase Stefan problem solved by the variational iteration method
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
- The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
- Inverse heat conduction problems by meshless local Petrov-Galerkin method
- Solution of the one-phase inverse Stefan problem by using the homotopy analysis method
- Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
- Determination of a time-dependent free boundary in a two-dimensional parabolic problem
- The improved element-free Galerkin method for three-dimensional elastoplasticity problems
- The improved element-free Galerkin method for two-dimensional elastodynamics problems
- A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
- One-phase inverse Stefan problem solved by Adomian decomposition method
- Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
- The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
- Meshless Local Petrov-Galerkin Mixed CollocationMethod for Solving Cauchy Inverse Problems ofSteady-State Heat Transfer
- Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: Existence of four solutions
- The Inverse Problem of Determining Heat Transfer Coefficients by the Meshless Local Petrov-Galerkin Method
- A deforming finite element method analysis of inverse Stefan problems
- Element‐free Galerkin methods
- New concepts in meshless methods
- Free Boundary Determination in Nonlinear Diffusion
- Stefan problem solved by Adomian decomposition method
- Inverse Problem with Free Boundary for Heat Equation
- A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
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