scholarly journals A variable time‐step method for a space fractional diffusion moving boundary problem: An application to planar drug release devices

2020 ◽  
Author(s):  
Morteza Garshasbi ◽  
Forough Sanaei
Keyword(s):  
Drug Release ◽  
Boundary Problem ◽  
Moving Boundary ◽  
Fractional Diffusion ◽  
Moving Boundary Problem ◽  
Step Method ◽  
Time Step ◽  
Variable Time Step ◽  
Release Devices ◽  
Time Step Method

scholarly journals One Phase Moving Boundary Problem

2019 ◽  
Vol 9 (2) ◽  
pp. 3427-3431
Keyword(s):  
Boundary Problem ◽  
Moving Boundary ◽  
Moving Boundary Problem ◽  
Initial Time ◽  
Step Method ◽  
Time Step ◽  
Spherical Droplet ◽  
Variable Time ◽  
Variable Time Step ◽  
Time Step Method

In this paper we introduced a variable time step method to obtain interface to moving boundary problem for Slab and Sphere. We present the basic difficulty, apart from the need to find the moving boundary, that there is no domain for the space variable. This difficulty is handled by the age old principles of basic mathematics. Naturally, giving symbolic names to the unknowns develop equations involving them and solve it using the conditions of the problem. High order accurate initial time step sizes for given space step size are obtained with the help of Green’s theorem. The Subsequent time steps are obtained by an iterative scheme. This variable time step method handles Dirichlet’s problem of freezing or melting of a Slab and spherical droplet.

scholarly journals An improved moving-boundary heat exchanger model using the variable time step method

2012 ◽  
Vol 31 ◽  
pp. 97-102 ◽  
Author(s):  
Xing Xue ◽  
Junmin Wang ◽  
Xianming Feng ◽  
Weikang Chen ◽  
Baoqiang Li
Keyword(s):  
Heat Exchanger ◽  
Moving Boundary ◽  
Step Method ◽  
Time Step ◽  
Variable Time ◽  
Variable Time Step ◽  
Time Step Method
Sign in / Sign up

Export Citation Format

Share Document