Solution of Integral Equations Using Local Splines of the Second Order

Q3 Engineering

WSEAS Transactions on Applied and Theoretical Mechanics Pub Date : 2022-12-31 DOI:10.37394/232011.2022.17.31

I. Burova, G. O. Alcybeev

引用次数: 3

Abstract

Splines are an important mathematical tool in Applied and Theoretical Mechanics. Several Problems in Mechanics are modeled with Differential Equations the solution of which demands Finite Elements and Splines. In this paper, we consider the construction of computational schemes for the numerical solution of integral equations of the second kind with a weak singularity. To construct the numerical schemes, local polynomial quadratic spline approximations and second-order nonpolynomial spline approximations are used. The results of the numerical experiments are given. This methodology has many applications in problems in Applied and Theoretical Mechanics

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用二阶局部样条解积分方程

样条曲线是应用力学和理论力学中重要的数学工具。用微分方程对力学中的几个问题进行了建模，这些问题的求解需要用到有限元和样条曲线。本文研究了一类具有弱奇点的第二类积分方程数值解的计算格式的构造。采用局部多项式二次样条近似和二阶非多项式样条近似构造数值格式。给出了数值实验结果。这种方法在应用力学和理论力学问题中有许多应用

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

WSEAS Transactions on Applied and Theoretical Mechanics Engineering-Computational Mechanics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Applied and Theoretical Mechanics publishes original research papers relating to computational and experimental mechanics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with fluid-structure interaction, impact and multibody dynamics, nonlinear dynamics, structural dynamics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.