摘要
This paper mainly focuses on the discontinuous Galerkin(DG)method for solving the semi-explicit index-1 integro-differential algebraic equation(IDAE),which is a coupled system of Volterra integro-differential equations(VIDEs)and second-kind Volterra integral equations(VIEs).The DG approach is applied to both the VIDE and VIE components of the system.The global convergence respectively in the L^(2)-norm and L¥-norm is established,and the local superconvergence for VIDE component is obtained.Furthermore,numerical examples are presented to validate the theoretical convergence and superconvergence results.
基金
supported by the National Natural Science Foundation of China(No.12171122)
Guangdong Provincial Natural Science Foundation of China(No.2023A 1515010818)
Shenzhen Science and Technology Program(Nos.RCJC20210609103755110 and JCYJ20240813104914020).
