A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem

被引：4

作者：

Echeverry, Manuel D. ^{[1
]}

Mejia, Carlos E. ^{[1
]}

机构：

[1] Univ Nacl Colombia, Escuela Matemat, Carrera 65 59 A-110, Medellin 050034, Colombia

来源：

AXIOMS | 2018年 / 7卷 / 04期

关键词：

inverse problem; mollification; fractional derivatives;

D O I：

10.3390/axioms7040089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a two-dimensional time fractional diffusion equation and address the important inverse problem consisting of the identification of an ingredient in the source term. The fractional derivative is in the sense of Caputo. The necessary regularization procedure is provided by a two-dimensional discrete mollification operator. Convergence results and illustrative numerical examples are included.

引用

页数：11

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