用第二切比雪夫小波法解决带冻结参数的反节点问题

Pub Date : 2024-04-17 DOI:10.21136/AM.2024.0038-21

Yu Ping Wang, Shahrbanoo Akbarpoor Kiasary, Emrah Yılmaz

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引用次数: 0

摘要

我们考虑了具有冻结参数的 Sturm-Liouville (S-L) 方程的反节点问题。特征函数的渐近行为、节点参数在两种情况下均有体现，并产生了解决给定问题的数值算法。随后，用第二切比雪夫小波方法（SCW）计算了反节点问题的解，并在一些数值示例中展示了该方法的准确性和有效性。

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Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method

We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.

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