Solving Delay Differential Equations through RBF Collocation  

作　　者：Francisco Bernal Gail Gutierrez 

机构地区：[1]Institute for Scientific Computing,Technical University of Dresden 01062 Dresden,Germany [2]Cir 1 No.73-34,Instituto de Energia y Termodinamica,Universidad Pontificia Bolivariana,Medellin,Colombia

出　　处：《Advances in Applied Mathematics and Mechanics》2009年第2期257-272,共16页应用数学与力学进展（英文）

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 support.Hardy’s multiquadric is chosen as RBF and combined with the Residual Subsampling Algorithm of Driscoll and Heryudono for support adaptivity.The 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.

关 键 词：Meshless method delay differential equations radial basis function MULTIQUADRIC adaptive collocation 

分 类 号：O17[理学—数学]