Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics

Sankar Prasad Mondal; Tapan Kumar Roy

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Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics

机译：拉格朗日乘法法方法对二阶线性模糊常微分方程的解决方案

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摘要

In this paper the solution of second order linear fuzzy ordinary differential equation is described. The solution procedure is described by Lagrange multiplier method and extension principle method. Further two mechanics problem with fuzzy initial condition are briefly illustrated. The solutions are defuzzified by a well min of a-cut defuzzification method.

机译：本文描述了二阶线性模糊常微分方程的解。通过拉格朗日乘法器方法和扩展原理方法描述了解决方案程序。简要说明了一种具有模糊初始条件的两个力学问题。通过剪切除油法的阱MIN进行排出的解决方案。

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来源
《Opsearch: Journal of the Operational Research Society of India》 |2017年第4期|共33页
作者
Sankar Prasad Mondal; Tapan Kumar Roy;
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作者单位

Department of Mathematics National Institute of Technology Agartala Jirania Tripura 799046 India;

Department of Mathematics Indian Institute of Engineering Science and Technology Shibpur Howrah West Bengal 711103 India;

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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
Fuzzy differential equation; Triangular fuzzy number; Second order differential equation; Lagrange multiplier method;

机译：模糊微分方程;三角模糊数;二阶微分方程;拉格朗日乘法机方法;

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专利

1. Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics [J] . Sankar Prasad Mondal, Tapan Kumar Roy Opsearch: Journal of the Operational Research Society of India . 2017,第4期

机译：拉格朗日乘法法方法对二阶线性模糊常微分方程的解决方案
2. Solution of second order linear fuzzy difference equation by Lagrange's multiplier method [J] . Sankar Prasad Mondal, Dileep Kumar Vishwakarma, Apu Kumar Saha Journal of Soft Computing and Applications . 2016,第1期

机译：拉格朗日乘数法求解二阶线性模糊差分方程
3. The network method for a fast and reliable solution of ordinary differential equations: Applications to non-linear oscillators [J] . I. Alhama, F. Alhama, A. Soto Meca Computers and Electrical Engineering . 2012,第6期

机译：快速可靠地求解常微分方程的网络方法：非线性振荡器的应用
4. Application of Fluctuationlessness Theorem on the Numerical Solution of Higher Order Linear Ordinary Differential Equations [C] . Nejla ALTAY, Metin DEMIRALP International Conference on Numerical Analysis and Applied Mathematics . 2008

机译：无波动定理在高阶线性常微分方程数值中的应用
5. THE APPLICATION OF NONLINEAR PROGRAMMING TO THE OPTIMIZATION OF MULTISTEP METHODS FOR THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS. [D] . HANEY, RICHARD FRANCIS. 1980

机译：非线性编程在优化多步法求解常微分方程数值解中的应用。
6. Operational method of solution of linear non-integer ordinary and partial differential equations [O] . K. V. Zhukovsky -1

机译：线性非整数常微分方程和偏微分方程解的运算方法
7. Solution of second order linear fuzzy difference equation by Lagrange's multiplier method [O] . Sankar Prasad Mondal, Dileep Kumar Vishwakarma, Apu Kumar Saha 2016

机译：拉格朗日乘法方法的二阶线性模糊差分方程解
8. SOLVEBLOK: A Package for Solving Almost Block Diagonal Linear Systems, with Applications to Spline Approximation and the Numerical Solution of Ordinary Differential Equations. [R] . de Boor, C., Weiss, R. 1976

机译：sOLVEBLOK：解决几乎块对角线性系统的一种包，应用于样条逼近和常微分方程的数值解。

Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics

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