The fully Sinc-Galerkin method for time-dependent boundary conditions

摘要

The fully Sinc-Galerkin method is developed for a family of complex-valued partial differential equations with time-dependent boundary conditions. The Sinc-Galerkin discrete system is formulated and represented by a Kronecker product form of those equations. The numerical solution is efficiently calculated and the method exhibits an exponential convergence rate. Several examples, some with a real-valued solution and some with a complex-valued solution, are used to demonstrate the performance of this method.