A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials
From MaRDI portal
Publication:2161595
DOI10.1016/j.enganabound.2022.04.007OpenAlexW4224290960MaRDI QIDQ2161595
Zhuo-Jia Fu, Wen Hu, Zhuochao Tang, Yan Gu
Publication date: 4 August 2022
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.04.007
heat conductiongeneralized finite difference methodinverse Cauchy problemsvariable-order fractional derivation
Related Items (1)
Cites Work
- Numerical methods and analysis for a class of fractional advection-dispersion models
- A note on the application of the generalized finite difference method to seismic wave propagation in 2D
- A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
- Some applications of fractional order calculus
- Application of the generalized finite difference method to solve the advection-diffusion equation
- Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations
- Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids
- Application of the boundary element method to inverse heat conduction problems
- Influence of several factors in the generalized finite difference method
- An \(h\)-adaptive method in the generalized finite differences
- Tikhonov regularization and the L-curve for large discrete ill-posed problems
- Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
- Shock-induced two dimensional coupled non-Fickian diffusion-elasticity analysis using meshless generalized finite difference (GFD) method
- Meshless analyses for time-fractional heat diffusion in functionally graded materials
- The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Application of the MFS to inverse obstacle scattering problems
- An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
- Solution of inverse heat conduction problems using control volume approach
- A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique
- A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives
- A boundary collocation method for anomalous heat conduction analysis in functionally graded materials
- Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method
- Improved geometric modeling using the method of fundamental solutions
- An efficient localized collocation solver for anomalous diffusion on surfaces
- Some novel numerical techniques for an inverse Cauchy problem
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
- An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability
- The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems
- Solving a reaction-diffusion system with chemotaxis and non-local terms using generalized finite difference method. Study of the convergence
- A localized extrinsic collocation method for Turing pattern formations on surfaces
- An inverse time-dependent source problem for the heat equation with a non-classical boundary condition
- Generalized finite differences for solving 3D elliptic and parabolic equations
- Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements
- The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
- Solving parabolic and hyperbolic equations by the generalized finite difference method
- The simple boundary element method for transient heat conduction in functionally graded materials
- Generalized finite difference method for solving two-dimensional inverse Cauchy problems
- The method of fundamental solutions for the inverse conductivity problem
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
- Recovery of timewise‐dependent heat source for hyperbolic PDE from an integral condition
This page was built for publication: A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials