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首页> 外文期刊>Journal of applied mathematics >An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
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An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations

机译:三阶常微分方程的精确块混合配置方法。

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摘要

The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations. Both the main and additional methods are derived via interpolation and collocation of the basic polynomial. These methods are applied in block form to provide the approximation at five points concurrently. The stability properties of the block method are investigated. Some numerical examples are tested to illustrate the efficiency of the method. The block hybrid collocation method is also implemented to solve the nonlinear Genesio equation and the problem in thin film flow.
机译:为直接求解一般三阶常微分方程,提出了具有两个失步点的块混合配置方法。主方法和附加方法都是通过基本多项式的插值和搭配得出的。这些方法以块形式应用,以同时提供五个点的近似值。研究了嵌段法的稳定性。测试了一些数值示例,以说明该方法的有效性。为了解决非线性Genesio方程和薄膜流动问题,还采用了块混合搭配方法。

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