Numerical Identification of Boundary Condition for Reaction-Advection-Diffusion Partial Differential Equation

被引：0
作者：
Alshammari, Bader Saad [1 ]
机构：
[1] Northern Border Univ, Coll Sci, Dept Math, Ar Ar, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷
关键词：
reaction-advection-diffusion equation; boundary identification; conjugate gradient method; KMF algorithm; spectral element method; CAUCHY-PROBLEM;
D O I：
10.28924/2291-8639-22-2024-212
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we consider a reaction-advection-diffusion partial differential equations (PDEs) in a plane domain with missed boundary data. We applied both the KMF algorithm and the conjugate gradient method to reconstruct the missed data by using the spectral element method. Several numerical examples were given illustrating the convergence of the used algorithms.
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页数：19
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