𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hybrid differential transform and finite difference method to solve the nonlinear heat conduction problem

✍ Scribed by Hsin-Ping Chu; Chieh-Li Chen

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
958 KB
Volume
13
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the differential transform is employed to discuss the behaviors of nonlinear heat conduction problem. A hybrid method of differential transform and finite difference approach is proposed to solve the transient responses of a nonlinear heat conduction problem. Different parameters of the equation and boundary conditions are considered to verify the feasibility of the proposed method to such problems. Simulation results are illustrated and discussed in comparison with the linear case. The results show that the hybrid method can achieve good results for such problems.

πŸ“œ SIMILAR VOLUMES

New hybrid Laplace transform/finite elem
New hybrid Laplace transform/finite element method for three-dimensional transient heat conduction problem
✍ Cha'o-Kuang Chen; Tzer-Ming Chen πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 865 KB

The paper presents results obtained by the implementation of a new hybrid Laplace transform/finite element method developed by the authors. The present method removes the time derivatives from the governing differential equation using the Laplace transform and then solves the associated equation wit

Hybrid boundary element and finite diffe
Hybrid boundary element and finite difference method for solving the nonlinear Poisson–Boltzmann equation
✍ Alexander H. Boschitsch; Marcia O. Fenley πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 513 KB

## Abstract A hybrid approach for solving the nonlinear Poisson–Boltzmann equation (PBE) is presented. Under this approach, the electrostatic potential is separated into (1) a linear component satisfying the linear PBE and solved using a fast boundary element method and (2) a correction term accoun

Solving transient conduction and radiati
Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method
✍ Subhash C. Mishra; Hillol K. Roy πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 496 KB

The lattice Boltzmann method (LBM) was used to solve the energy equation of a transient conduction-radiation heat transfer problem. The finite volume method (FVM) was used to compute the radiative information. To study the compatibility of the LBM for the energy equation and the FVM for the radiativ

The mollification method and the numeric
The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
✍ D.A. Murio πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 736 KB

The inverse heat conduction problem involves the calculation of surface heat flux and/or temperature histories from transient, measured temperatures inside solids. We consider the one dimensional semi-infinite linear case and present a new solution algorithm based on a data filtering interpretation