The Method of Particular Solutions for Solving Inverse Problems of a Nonhomogeneous Convection-Diffusion Equation with Variable Coefficients
作者： Tongsong Jiang , Ming Li , C. S. Chen
DOI: 10.1080/10407782.2011.643722
关键词: Boundary (topology) 、 Convection–diffusion equation 、 Inverse 、 Discretization 、 Regularized meshless method 、 Inverse problem 、 Mathematics 、 Radial basis function 、 Variable (mathematics) 、 Mathematical analysis
摘要: A new version of the method of particular solutions (MPS) has been proposed for solving inverse problems for nonhomogeneous convection-diffusion equations with variable …
usm.edu参考文章(28)
Lawrence Edward Payne, Improperly Posed Problems in Partial Differential Equations ,(1987)
Per Christian Hansen, Dianne Prost O’Leary, The use of the L-curve in the regularization of discrete ill-posed problems SIAM Journal on Scientific Computing. ,vol. 14, pp. 1487- 1503 ,(1993) , 10.1137/0914086
L.Y. Chen, J.T. Chen, H.-K. Hong, C.H. Chen, Application of Cesàro mean and the L-curve for the deconvolution problem Soil Dynamics and Earthquake Engineering. ,vol. 14, pp. 361- 373 ,(1995) , 10.1016/0267-7261(95)00003-D
N. S. Mera, L. Elliott, D. B. Ingham, AN INVERSION METHOD WITH DECREASING REGULARIZATION FOR THE BACKWARD HEAT CONDUCTION PROBLEM Numerical Heat Transfer Part B-fundamentals. ,vol. 42, pp. 215- 230 ,(2002) , 10.1080/10407790260233538
H. Han, D.B. Ingham, Y. Yuan, The Boundary Element Method for the Solution of the Backward Heat Conduction Equation Journal of Computational Physics. ,vol. 116, pp. 292- 299 ,(1995) , 10.1006/JCPH.1995.1028
J.V. Beck, B. Blackwell, A. Haji-Sheikh, Comparison of some inverse heat conduction methods using experimental data International Journal of Heat and Mass Transfer. ,vol. 39, pp. 3649- 3657 ,(1996) , 10.1016/0017-9310(96)00034-8
N. S. Mera *, The method of fundamental solutions for the backward heat conduction problem Inverse Problems in Science and Engineering. ,vol. 13, pp. 65- 78 ,(2005) , 10.1080/10682760410001710141
Chein-Shan Liu, Group preserving scheme for backward heat conduction problems International Journal of Heat and Mass Transfer. ,vol. 47, pp. 2567- 2576 ,(2004) , 10.1016/J.IJHEATMASSTRANSFER.2003.12.019
P. H. Wen, C. S. Chen, The method of particular solutions for solving scalar wave equations International Journal for Numerical Methods in Biomedical Engineering. ,vol. 26, pp. 1878- 1889 ,(2010) , 10.1002/CNM.1278
Nguyen Huy Tuan, Dang Duc Trong, A new regularized method for two dimensional nonhomogeneous backward heat problem Applied Mathematics and Computation. ,vol. 215, pp. 873- 880 ,(2009) , 10.1016/J.AMC.2009.06.020