On the Solution of an Inverse Problem for an Integro-differential Transport Equation

被引：0

作者：

Golgeleyen, Ismet ^{[1
]}

机构：

[1] Zonguldak Karaelmas Univ, Fac Arts & Sci, Dept Math, TR-67100 Zonguldak, Turkey

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2010年 / 64卷 / 01期

关键词：

Inverse Problem; Scattering Term; Curvature; Transport Equation; Finite Difference Method;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the solvability conditions for an inverse problem for an integro-differential transport equation are obtained and a numerical approximation method based on the finite difference method is developed. A comparison between the numerical solution and the exact solution of the problem is presented. Experimental results show that proposed method is robust to data noises.

引用

页码：71 / 89

页数：19

共 50 条

[1] On the solution of an inverse problem for an integro-differential transport equation
Gölgeleyen, Ismet
[J]. CMES - Computer Modeling in Engineering and Sciences, 2010, 64 (01): : 71 - 89
[2] The Inverse Problem for an Integro-Differential Equation and its Solution Method
Denisov A.M.
Efimov A.A.
[J]. Computational Mathematics and Modeling, 2019, 30 (4) : 403 - 412
[3] Inverse Problem for an Integro-Differential Equation of Acoustics
Zh. Sh. Safarov
D. K. Durdiev
[J]. Differential Equations, 2018, 54 : 134 - 142
[4] The Inverse Problem for a Quasilinear Integro-Differential Equation
A. M. Denisov
[J]. Differential Equations, 2001, 37 : 1420 - 1426
[5] The inverse problem for a quasilinear integro-differential equation
Denisov, AM
[J]. DIFFERENTIAL EQUATIONS, 2001, 37 (10) : 1420 - 1426
[6] Inverse Problem for an Integro-Differential Equation of Acoustics
Safarov, Zh. Sh.
Durdiev, D. K.
[J]. DIFFERENTIAL EQUATIONS, 2018, 54 (01) : 134 - 142
[7] Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation
Denisov, A. M.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (05) : 837 - 844
[8] Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation
A. M. Denisov
[J]. Computational Mathematics and Mathematical Physics, 2023, 63 : 837 - 844
[9] The cauchy problem for a nonlinear integro-differential transport equation
A. V. Kalinin
S. F. Morozov
[J]. Mathematical Notes, 1997, 61 : 566 - 573
[10] The Cauchy problem for a nonlinear integro-differential transport equation
Kalinin, AV
Morozov, SF
[J]. MATHEMATICAL NOTES, 1997, 61 (5-6) : 566 - 573

← 1 2 3 4 5 →