Numerical solution of a semi-linear inverse parabolic problem via HPM

2016 ◽  
Vol 7 (4) ◽  
pp. 330
Author(s):  
Alimardan Shahrezaee ◽  
Malihe Rostamian
Keyword(s):  
Numerical Solution ◽  
Parabolic Problem ◽  
Inverse Parabolic Problem

Calculation of Heat Transfer in Heterogeneous Structures such as Honeycomb by Using Numerical Solution of Stochastic Differential Equations

2014 ◽  
Vol 1016 ◽  
pp. 758-763 ◽  
Author(s):  
Sergey A. Gusev ◽  
Vladimir N. Nikolaev
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Numerical Solution ◽  
Stochastic Differential Equations ◽  
Parabolic Problem ◽  
Generalized Solution ◽  
Discontinuous Coefficients ◽  
Parabolic Boundary ◽  
Heterogeneous Structures ◽  
Computing Method

A computing method of heat transfer in heterogeneous structures is proposed in the paper. The problem is mathematically described as the parabolic boundary value problem with discontinuous coefficients. The generalized solution of this parabolic problem can be approached by the solution of the parabolic boundary problem with smoothed coefficients. To obtain estimates of the solution of the problem with smoothed coefficients the method of numerical solution of stochastic differential equations (SDE) is applied. Some numerical results for honeycomb structures are presented.

Numerical solution of a periodic parabolic problem

1992 ◽  
Vol 42 (3-4) ◽  
pp. 243-251
Author(s):  
D. J. Evans ◽  
Changjun Li
Keyword(s):  
Numerical Solution ◽  
Parabolic Problem
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