Solving second order linear dirichlet and neumannboundary value problems by block method
Solving second order linear dirichlet and neumannboundary value problems by block method
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发表时间：
2013
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通讯作者：
Z. Majid;M. Hasni;N. Senu
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作者：
Z. Majid;M. Hasni;N. Senu
本文研究了直接三点分块一步法求解具有两种不同边界条件的线性边值问题，即Dirichlet和Neumann边界条件。该方法将直接求解二阶线性边值问题，而不必将其化为一阶方程组。这两种类型BVP的直接解将使用恒定步长在三个点同时计算。该方法将与线性打靶技术一起用于构造数值解。该实现是基于PE（CE）r模式下的预测器和校正器公式。数值结果表明，该方法的性能相比，现有的方法。
In this paper, the direct three-point block one-step methods are considered for solving linear boundary value problems (BVPs) with two different types of boundary conditions which is the Dirichlet and Neumann boundary conditions. This method will solve the second order linear BVPs directly without reducing it to the system of first order equations. The direct solution of these two types of BVPs will be calculated at three points simultaneously using constant step size. This method will be used together with the linear shooting technique to construct the numerical solution. The implementation is based on the predictor and corrector formulas in the PE(CE)r mode. Numerical results are given to show the performance of this method compared to the existing methods.