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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 the efficiency of our method.
In this paper, a new difference scheme by using cubic splines for solving a singularly-perturbed two-point boundary-value problem for second-order ordinary differential equations is derived. The proposed scheme is fourth order accurate, which is better than previous published results. Finally, two numerical examples are solved to illustrate the efficiency of our method.
In this paper, a difference scheme based on the quartic splines for solving the singularly-perturbed two-point boundary-value problem of second-order ordinary differential equations subject to Neumann-type boundary conditions are derived. The accuracy order of the schemes is O(h4) not only at the interior nodal points but also at the two endpoints, which are better than general center finite difference...
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