A fast second-order discretization scheme for the linearized Green-Naghdi system with absorbing boundary conditions

In this paper, we present a fully discrete second-order finite-difference scheme with fast evaluation of the convolution involved in absorbing boundary conditions to solve one-dimensional linearized Green-Naghdi system. The Padé expansion square-root function complex plane is used implement convolution. By introducing constant damping parameter into governing equations, convergence analysis developed when term fulfills some conditions. addition, stable and leads highly reduced computational cost low memory storage. A numerical example provided support theoretical illustrate performance scheme.