Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions

2021 ◽  
Author(s):  
Charyyar Ashyralyyev ◽  
Ahmet Gönenç
Keyword(s):  
Numerical Solution ◽  
Parabolic Problem ◽  
Integral Conditions

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.

Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions

2016 ◽  
Vol 24 (5) ◽  
Author(s):  
Kamil R. Aida-zade ◽  
Vagif M. Abdullayev
Keyword(s):  
Inverse Problems ◽  
Differential Equations ◽  
Numerical Solution ◽  
Ordinary Differential Equations ◽  
Numerical Experiments ◽  
Parametric Identification ◽  
Initial Problem ◽  
Cauchy Problems ◽  
Integral Conditions ◽  
Identification Problems

AbstractThis work is dedicated to the numerical solution of a class of parametric identification problems for dynamic objects. The process is described by a system of loaded ordinary differential equations. Observations over the object have integral (interval) and point characters, at which the results of the observations are given in a summarized non-separated form. We propose a technique that reduces the solution of the initial problem to the solution of specially-built supplementary Cauchy problems. The results of some numerical experiments are also given.

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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