Li-Bin Liu

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In this paper, a new difference scheme by using quintic splines for solving a singlularly-perturbed boundary-value problem is derived. The proposed scheme is sixth order accurate at the interior nodal points and fourth order accurate at the end points, which is better than previous published results. Finally, the numerical results are given to illustrate(More)
In this paper, a new numerical method is developed for solving one-dimensional second-order hyperbolic quations. By using a new unconditionally stable two level difference scheme based on the quartic spline interpolation method in space direction and generalized trapezoidal formula in time direction, the hyperbolic equations are solved. Stability analysis(More)