A Survey of the Earth Dams by Sturm-Liouville Equations - The Singular Case

IF 0.5 Q3 MATHEMATICS

Malaysian Journal of Mathematical Sciences Pub Date : 2022-09-26 DOI:10.47836/mjms.16.3.13

A. Neamaty, Y. Khalili

引用次数: 0

Abstract

In this work, we investigate the vibrations of embankments by the singular Sturm-Liouville equations. At first, we create the mathematical form of the vibrations by the shear beam (SB) model (see [21]) and transform this given form to the Sturm-Liouville form with a singularity. Finally, we discuss the numerical solution to the considered problem using the variational iteration method.

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用Sturm-Liouville方程考察土坝-奇异情况

在这项工作中，我们通过奇异Sturm-Liouville方程研究了堤防的振动。首先，我们通过剪切梁(SB)模型(见[21])创建振动的数学形式，并将这种给定形式转换为具有奇点的Sturm-Liouville形式。最后，我们用变分迭代法讨论了所考虑问题的数值解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.