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A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-09-12 , DOI: 10.1016/j.aml.2020.106732 Hongbo Sun , Liangcai Mei , Yingzhen Lin
中文翻译:
基于改进的Legendre正交基础的新算法求解二阶BVP
更新日期:2020-09-12
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-09-12 , DOI: 10.1016/j.aml.2020.106732 Hongbo Sun , Liangcai Mei , Yingzhen Lin
In this article, a new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs is constructed. The method of this article is an improved Legendre orthogonal polynomial algorithm, and the -best approximate solution is constructed skillfully in the reproducing kernel space. Compared with other methods, this method has the advantages of high approximation, -order convergence and strong stability. Some numerical examples show the effectiveness and stability of the algorithm.
中文翻译:
基于改进的Legendre正交基础的新算法求解二阶BVP
本文构建了一种基于改进的Legendre正交基础的求解二阶BVP的新算法。本文的方法是一种改进的Legendre正交多项式算法,-在复制内核空间中熟练地构造最佳近似解决方案。与其他方法相比,该方法具有逼近度高的优点,有序收敛性和较强的稳定性。数值例子表明了该算法的有效性和稳定性。