scholarly journals UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS

2004 ◽  
Vol 23 (2) ◽  
Author(s):  
A ZEGHAL
Keyword(s):  
Parabolic Equations ◽  
Source Term ◽  
Unknown Source

Determination of radiological source term of CHASHMA-1 NPP during LOCA

Kerntechnik ◽  
2019 ◽  
Vol 84 (2) ◽  
pp. 99-109
Author(s):  
K. Mehboob ◽  
M. S. Aljohani
Keyword(s):  
Source Term

scholarly journals Numerical method of identification of an unknown source term in a heat equation

2002 ◽  
Vol 8 (2) ◽  
pp. 161-168 ◽  
Author(s):  
Afet Golayoğlu Fatullayev
Keyword(s):  
Inverse Problem ◽  
Heat Equation ◽  
Numerical Method ◽  
Minimization Problem ◽  
Unknown Function ◽  
Source Term ◽  
Numerical Procedure ◽  
Numerical Examples ◽  
Unknown Source

A numerical procedure for an inverse problem of identification of an unknown source in a heat equation is presented. Approach of proposed method is to approximate unknown function by polygons linear pieces which are determined consecutively from the solution of minimization problem based on the overspecified data. Numerical examples are presented.

scholarly journals Determination of source term for fractional heat equation on the sphere

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 361-370
Author(s):  
Nguyen Phuong ◽  
Tran Binh ◽  
Nguyen Luc ◽  
Nguyen Can
Keyword(s):  
Diffusion Equation ◽  
Heat Equation ◽  
Exact Solutions ◽  
Source Term ◽  
Fractional Diffusion ◽  
Inverse Source Problem ◽  
Fractional Heat Equation ◽  
Ill Posed ◽  
Time Fractional Diffusion Equation

In this work, we study a truncation method to solve a time fractional diffusion equation on the sphere of an inverse source problem which is ill-posed in the sense of Hadamard. Through some priori assumption, we present the error estimates between the regularized and exact solutions.

Identifying an unknown source term in radial heat conduction

2012 ◽  
Vol 20 (3) ◽  
pp. 335-349 ◽  
Author(s):  
Wei Cheng ◽  
Yun-Jie Ma ◽  
Chu-Li Fu
Keyword(s):  
Heat Conduction ◽  
Source Term ◽  
Unknown Source ◽  
Radial Heat
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