Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Basic methods in thermodynamics and heat transfer (80M99) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

Arbitrary dimension convection-diffusion schemes for space-time discretizations
Fuzzy finite difference method for heat conduction analysis with uncertain parameters
Nonlinear transient heat conduction problems for a class of inhomogeneous anisotropic materials by BEM
Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations
The method of fundamental solutions for elliptic boundary value problems
Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
Space-time localized radial basis function collocation method for solving parabolic and hyperbolic equations
A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients
MFS with time-dependent fundamental solutions for unsteady Stokes equations
Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
A meshless singular boundary method for transient heat conduction problems in layered materials
A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis
Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method
A boundary meshless method for dynamic coupled thermoelasticity problems
On the augmented moving least squares approximation and the localized method of fundamental solutions for anisotropic heat conduction problems
2.5D singular boundary method for acoustic wave propagation
Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries
The method of fundamental solutions for nonlinear functionally graded materials
Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations
A meshless model for transient heat conduction in functionally graded materials
Time-dependent fundamental solutions for homogeneous diffusion problems
Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation
Three-dimensional fundamental solution of wave propagation and transient heat transfer in non-homogeneous media
Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material
A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems
The method of functional equations for the approximate solution of certain boundary value problems
A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis
Singular boundary method: a review and computer implementation aspects

This page was built for publication: Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme