Solving Delay Differential Equations through RBF Collocation

作     者：Francisco Bernal Gail Gutierrez 

作者机构：Institute for Scientific ComputingTechnical University of Dresden 01062 DresdenGermany Cir 1 No.73-34Instituto de Energia y TermodinamicaUniversidad Pontificia BolivarianaMedellinColombia 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2009年第1卷第2期

页      面：257-272页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Meshless method delay differential equations radial basis function multiquadric adaptive collocation 

摘      要：A general and easy-to-code numerical method based on radial basis functions(RBFs)collocation is proposed for the solution of delay differential equations(DDEs).It relies on the interpolation properties of infinitely smooth RBFs,which allow for a large accuracy over a scattered and relatively small discretization ***’s multiquadric is chosen as RBF and combined with the Residual Subsampling Algorithm of Driscoll and Heryudono for support *** performance of the method is very satisfactory,as demonstrated over a cross-section of benchmark DDEs,and by comparison with existing general-purpose and specialized numerical schemes for DDEs.