Numerical Method by 7 Point Implicit Difference Formula for Transient Heat Conduction Problems

Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method

The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases

In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.

A Comparative Study of Numerical Techniques for 2D Transient Heat Conduction Equation Using Finite Element Method

Temperature decay in an aluminium plate is observed using Galerkin finite element method for 2D transient heat conduction equation. Taking ∆t of 0.001 hr , temperature variation is studied using unconditionally stable first order and second order accurate schemes backward Euler and modified CrankNicholson respectively. A comparative study has been made taking different combinations of meshes an...

Optimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...

A Numerical Method for Backward Inverse Heat Conduction Problem With two Unknown Functions

This paper considers a linear one dimensional inverse heat conduction problem with non constant thermal diffusivity and two unknown terms in a heated bar with unit length. By using the WKB method, the heat flux at the end of boundary and initial temperature will be approximated, numerically. By choosing a suitable parameter in WKB method the ill-posedness of solution will be improved. Finally, ...