用迭代扩展方法分析双调和和调和模型

IF 0.2 Q4 MATHEMATICS, APPLIED

Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software Pub Date : 2022-01-01 DOI:10.14529/mmp220304

Мельцайкин Евгений Андреевич, Meltsaykin Evgeniy, Andreevich, Ushakov Andrey, Leonidovich

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引用次数: 2

摘要

．本文介绍了用迭代扩展法分析双调和模型的方法。利用非齐次苏菲·热尔曼的边值问题对力学中各种固定物理系统进行了建模。利用双调和模型，即非齐次Sophie Germain方程的边值问题，描述了流体流动过程中板的挠曲、流动。利用发展起来的迭代扩展方法，得到了求解所考虑问题的有效算法。

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Analysis of Biharmonic and Harmonic Models by the Methods of Iterative Extensions

. The article describes the analysis of biharmonic models by iterative extension methods. Various stationary physical systems in mechanics are modeled using boundary value problems for inhomogeneous Sophie Germain. Using the biharmonic model, i.e. boundary value problem for the inhomogeneous Sophie Germain equation, describe the deflection of plates, flows during fluid flows. With the help of the developed methods of iterative extensions, efficient algorithms for solving the problems under consideration are obtained.

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来源期刊

Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

50.00%

发文量

期刊介绍： Series «Mathematical Modelling, Programming & Computer Software» of the South Ural State University Bulletin was created in 2008. Nowadays it is published four times a year. The basic goal of the editorial board as well as the editorial commission of series «Mathematical Modelling, Programming & Computer Software» is research promotion in the sphere of mathematical modelling in natural, engineering and economic science. Priority publication right is given to: -the results of high-quality research of mathematical models, revealing less obvious properties; -the results of computational research, containing designs of new computational algorithms relating to mathematical models; -program systems, designed for computational experiments.