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-...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 pointwise convergence, too.展开更多
文摘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 pointwise convergence, too.