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The Methods and Error Estimations on the Second-Order Differential Equations
Author: Yang Ren-Shiaw

Abstract：

In this paper, we solve the Initial Value Problem (IVP) by a Modified Predictor-Corrector method. We can prove it has trucncation error O(h4) and it is stable. For Boundary Value Problems (BVP), Shooting method and Finite-Difference method are often used. We improve these methods and get some theorems and error estimations.

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