Fourth-order accurate difference method for the singular perturbation problem
Authors:
Liu Chuanhan
Affiliation:
College of Computer and Information Engineering, Hehai University, Nanjing 210098, P. R. China
Abstract:
In this paper, the numerical solution of fourth-order ordinary differential equations is considered. To approximate the differential equation, the Hermitian scheme on a special nonequidistant mesh is used. The fourth -order convergence uniform in the perturbation parameter is proved. The numerical result shows the pomtwise convergence, too.