Numerical solution of the diffusion equation with moving boundary applied to modelling of the austenite–ferrite phase transformation

2008 ◽  
Vol 44 (2) ◽  
pp. 783-791 ◽  
Author(s):  
M. Pernach ◽  
M. Pietrzyk
Keyword(s):  
Phase Transformation ◽  
Diffusion Equation ◽  
Numerical Solution ◽  
Moving Boundary ◽  
Ferrite Phase

scholarly journals Numerical solution of the time fractional reaction–diffusion equation with a moving boundary

2017 ◽  
Vol 338 ◽  
pp. 493-510 ◽  
Author(s):  
Minling Zheng ◽  
Fawang Liu ◽  
Qingxia Liu ◽  
Kevin Burrage ◽  
Matthew J. Simpson
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Moving Boundary ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Fractional Reaction

Axisymmetric flow near the critical point on the moving boundary

2010 ◽  
Vol 7 ◽  
pp. 182-190
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Axial Velocity ◽  
Moving Boundary ◽  
Axisymmetric Flow ◽  
Boundary Motion ◽  
Newton Raphson ◽  
Raphson Method

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.

The Best Perturbation Method for the Parameter Inversion of Two-Dimension Convection-Diffusion Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1143-1146
Author(s):  
Xiang Guo Liu
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Numerical Simulations ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Parameter Inversion ◽  
Parametric Inversion

The paper researches the parametric inversion of the two-dimensional convection-diffusion equation by means of best perturbation method, draw a Numerical Solution for such inverse problem. It is shown by numerical simulations that the method is feasible and effective.

Numerical Solution to the Convective Diffusion Equation

1970 ◽  
Vol 6 (6) ◽  
pp. 1746-1752 ◽  
Author(s):  
C. A. Oster ◽  
J. C. Sonnichsen ◽  
R. T. Jaske
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Convective Diffusion ◽  
Convective Diffusion Equation
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