摘要
In this paper,the discontinuous Galerkin method is applied to solve the multi-pantograph delay differential equations.We analyze the optimal global convergence and local superconvergence for smooth solutions under uniform meshes.Due to the initial singularity of the forcing term f,solutions of multi-pantograph delay differential equations are singular.We obtain the relevant global convergence and local superconvergence for weakly singular solutions under graded meshes.The numerical examples are provided to illustrate our theoretical results.
基金
supported by the Natural Science Foundation of China(No.11571027),the International Research Cooperation Seed of Beijing University of Technology(No.2018B32)
Science and Technology Projects of Beijing Education Commission Foundatio(No.KM201510005032),and the 16th graduate science and technology fund of Beijing university of technology(No.ykj-2017-00127).
