PROMETHEE technique to select the best radial basis functions for solving the 2-dimensional heat equations based on Hermite interpolation

作者: Saeed Kazem , Farhad Hadinejad

DOI: 10.1016/J.ENGANABOUND.2014.06.009

关键词:

摘要: … a technique for representing a function starting with data on scattered points. This technique first … differential equations (PDEs) is based on the collocation method. These methods have …

参考文章(59)
Shmuel Rippa, An algorithm for selecting a good value for the parameter c in radial basis function interpolation Advances in Computational Mathematics. ,vol. 11, pp. 193- 210 ,(1999) , 10.1023/A:1018975909870
Carsten Franke, Robert Schaback, Convergence order estimates of meshless collocation methods using radial basis functions Advances in Computational Mathematics. ,vol. 8, pp. 381- 399 ,(1998) , 10.1023/A:1018916902176
Josef Hoschek, Dieter Lasser, Scattered Data Interpolation Vieweg+Teubner Verlag. pp. 368- 411 ,(1992) , 10.1007/978-3-322-89829-6_9
Holger Wendland, Scattered Data Approximation ,(2004)
J. Ignatius, S.M.H. Motlagh, M.M. Sepehri, M. Behzadian, A. Mustafa, Hybrid models in decision making under uncertainty: The case of training provider evaluation Journal of Intelligent and Fuzzy Systems. ,vol. 21, pp. 147- 162 ,(2010) , 10.3233/IFS-2010-0443
Ngoc Thanh Nguyen, Chee Peng Lim, Lakhmi C. Jain, Valentina E. Balas, Theoretical advances and applications of intelligent paradigms Journal of Intelligent and Fuzzy Systems. ,vol. 20, pp. 1- 2 ,(2009) , 10.3233/IFS-2009-0410
K. Parand, S. Abbasbandy, S. Kazem, A.R. Rezaei, Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium Communications in Nonlinear Science and Numerical Simulation. ,vol. 16, pp. 1396- 1407 ,(2011) , 10.1016/J.CNSNS.2010.07.011
J.P. Brans, Ph. Vincke, B. Mareschal, HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD European Journal of Operational Research. ,vol. 24, pp. 228- 238 ,(1986) , 10.1016/0377-2217(86)90044-5
Maithili Sharan, E.J. Kansa, Suman Gupta, Application of the multiquadric method for numerical solution of elliptic partial differential equations Applied Mathematics and Computation. ,vol. 84, pp. 275- 302 ,(1997) , 10.1016/S0096-3003(96)00109-9