Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions

被引：6

作者：

Ozbilge, Ebru ^{[1
]}

Kanca, Fatma ^{[2
]}

Ozbilge, Emre ^{[3
]}

机构：

[1] Amer Univ Middle East, Dept Math & Stat, Egaila 54200, Kuwait

[2] Fenerbahce Univ, Fac Engn & Architecture, TR-34758 Istanbul, Turkey

[3] Cyprus Int Univ, Fac Engn, Dept Comp Engn, Mersin 10, TR-99258 Nicosia, North Cyprus, Turkey

来源：

MATHEMATICS | 2022年 / 10卷 / 09期

关键词：

fractional; differential equation; nonlocal; boundary conditions; inverse problem; numerical method; finite difference method; DIFFUSION; IDENTIFICATION; COEFFICIENT; TERM;

D O I：

10.3390/math10091479

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.

引用

页数：8

共 32 条

[1]

[Anonymous], 1997, MONOTONE OPERATORS B, DOI DOI 10.1090/SURV/049

[2] Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition [J].

Baglan, Irem .

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2015, 23 (05) :884-900

[3] A novel approach for the solution of fractional diffusion problems with conformable derivative [J].

Bayrak, Mine A. ;

Demir, Ali ;

Ozbilge, Ebru .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (03) :1870-1887

[4] An Improved Version of Residual Power Series Method for Space-Time Fractional Problems [J].

Bayrak, Mine Aylin ;

Demir, Ali ;

Ozbilge, Ebru .

ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022

[5] Asymptotic energy of connected cubic circulant graphs [J].

Bulut, Alper ;

Hacioglu, Ilhan .

AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2021, 18 (01) :25-28

[6] The energy of all connected cubic circulant graphs [J].

Bulut, Alper ;

Hacioglu, Ilhan .

LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (04) :679-685

[7]

Caepinteri A., 1997, FRACTALS FRACTIONAL

[8]

Cannon J. R., 1992, Meccanica, V27, P85

[9] DIFFUSION EQUATION INCLUDING A LOCAL FRACTIONAL DERIVATIVE AND WEIGHTED INNER PRODUCT [J].

Cetinkaya, Suleyman ;

Demir, Ali .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2022, 21 (01) :19-27

[10]

Chen W, 2009, J MAR SCI TECH-TAIW, V17, P157

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