A noniterative approximate solution method for volume conductor problems based on the finite difference method

1988 ◽  
Vol 35 (1) ◽  
pp. 31-35 ◽  
Author(s):  
C.J. Stok ◽  
P.M. Wognum
Keyword(s):  
Approximate Solution ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Solution Method ◽  
Volume Conductor ◽  
The Finite Difference Method ◽  
Approximate Solution Method

Heat Diffusion in Heterogeneous Bodies Using Heat-Flux-Conserving Basis Functions

1988 ◽  
Vol 110 (2) ◽  
pp. 276-282 ◽  
Author(s):  
A. Haji-Sheikh
Keyword(s):  
Heat Flux ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Diffusion Equation ◽  
Difference Method ◽  
Solution Method ◽  
Basis Functions ◽  
Heat Diffusion ◽  
Simple Geometry ◽  
The Finite Difference Method

The generalized analytical derivation presented here enables one to obtain solutions to the diffusion equation in complex heterogeneous geometries. A new method of constructing basis functions is introduced that preserves the continuity of temperature and heat flux throughout the domain, specifically at the boundary of each inclusion. A set of basis functions produced in this manner can be used in conjunction with the Green’s function derived through the Galerkin procedure to produce a useful solution method. A simple geometry is selected for comparison with the finite difference method. Numerical results obtained by this method are in excellent agreement with finite-difference data.

scholarly journals Numerical Solution of Eikonal Equation Using Finite Difference Method

2018 ◽  
Vol 15 ◽  
pp. 8174-8184
Author(s):  
Sana'a Abdullah Alotibi
Keyword(s):  
Approximate Solution ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Numerical Solution ◽  
Wave Front ◽  
Difference Method ◽  
Eikonal Equation ◽  
Tsunami Wave ◽  
Ill Posed ◽  
The Finite Difference Method

In this paper, a method to calculate tsunami wave front is introduced using the finite difference method to solve the ill-posed problem and to calculate perturbed velocity of the wave front. Comparison between the actual and approximate solution will be proposed in a table form and a graphic form.

Sign in / Sign up

Export Citation Format

Share Document