پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شماره‌ها | 502 |
| تعداد مقالات | 4,508 |
| تعداد مشاهده مقاله | 7,888,286 |
| تعداد دریافت فایل اصل مقاله | 5,319,934 |
Proportional factors estimation in an IHCP | ||
| Journal of Hyperstructures | ||
| دوره 3، شماره 1، شهریور 2014، صفحه 53-67 اصل مقاله (425.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2014.2573 | ||
| نویسندگان | ||
| Morteza Garshasbi* ؛ Hatef Dastour | ||
| School of Mathematics, Iran University of Science and Technology, Tehran, Iran | ||
| چکیده | ||
| In this paper, a numerical scheme is developed based on mollification method and space marching scheme for solving an inverse heat conduction problem. The proposed inverse problem contains the estimation of two unknown functions at the boundaries named proportional factors. The temperature and heat flux measurements in an interior point are considered as overspecified data with the presence of noise. Convergence and stability of the solution for the proposed method are analyzed. To support the numerical achievements, some numerical examples are considered and discussed. | ||
| کلیدواژه‌ها | ||
| Inverse heat conduction problem؛ marching scheme؛ mollification method | ||
| مراجع | ||
|
[1] B. Anderssen, F. de Hogg and M. Hegland, A stable finite difference ansatz for higher order differentiation of nonexact data, Bull. Austral. Math. Soc., 58 (1998), 223–232. [2] C. Coles and D.A. Murio, Simultaneous space diffusivity and source term recon-struction in 2D IHCP, Computers Math. Applic., 12 (2001), 1549–1564. [3] J.R. Cannon , The One-Dimensional Heat Equation, New York: Addison-Wesley (1984). [4] Z.C. Deng, L. Yang , J.N. Yu, Identifying the radiative coefficient of heat con-duction equations from discrete measurement data, Appl. Math.Lett., 22 (2009),495-500. [5] M. Garshasbi and J. Damirchi and P. Reihani, Parameter estimation in an in-verse initial boundary value problem of heat equation, Journal of Advanced Re-search in Differential Equations, 2 (2010), 1943–0248. [6] M. Garshasbi and P. Reihani and H. Dastour, A stable numerical solution of a class of semi-linear Cauchy problems, J. Adv. Res. Dyn. Cont. Sys. 4 (2012),56–67. [7] A. Hasanov, Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach, J. Math. Anal.Appl., 330 (2007), 766-779. [8] T. Johansson, D. Lesnic, Determination of a spacewise dependent heat source, J. Comput. Appl. Math., 209 (2007), 66-80. [9] Y.L. Keung, J. Zou, Numerical identifications of parameters in parabolic systems, Inverse Problems, 14 (1998), 83-100. [10] D.A. Murio, Stable numerical solution of a fractional-diffusion inverse heat con-duction problem, Computers Math. Applic., 53 (2007), 1492–1501. [11] D.A. Murio, Mollification and Space Marching, Woodbury K. ,Inverse Engineer-ing Handbook, CRC Press: Boca Raton (2002), 226–332. [12] D.A. Murio, The Mollification Method and the Numerical Solution of Ill-Posed Problems, New York: John Wiley and Sons (1993). [13] D.A. Murio and ZH. Yi, Source Term Identification in 1-D IHCP, Computers Math. Applic., 47 (2004), 1921–1933. [14] M. Necati Ozisik, Heat conduction, New York: John Wiley & Sons (1993). [15] L. Yang, J.N. Yu, Z.C. Deng, An inverse problem of identifying the coefficient of parabolic equation, Appl. Math. Model., 32 (2008), 1984-1995. | ||
|
آمار تعداد مشاهده مقاله: 283 تعداد دریافت فایل اصل مقاله: 272 |
||