Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems

Mehmet Tarik Atay; Biagio Simonetti; Safa Bozkurt Coskun; D. Venkatesan; Murat Alper Basaran; Massimo Squillante

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Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems

机译：ODE和ODEs系统特征值问题的数值和软计算方法

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In many engineering and applied sciences fields, researchers encounter a special class of problems known as boundary value problems, or characteristic value problems. The desired or achieved solution for this kind of problems is required to satisfy given boundary conditions. In real-world applications and their related problems, there are always some boundary conditions to meet for imitating the real case with simplified mathematical model with its boundary of initial conditions. Based on this idea, characteristic value problems of ODE and ODEs systems will always be a center of attention of scientific research.

机译：在许多工程学和应用科学领域，研究人员会遇到一类特殊的问题，称为边界值问题或特征值问题。需要满足给定的边界条件的解决这类问题的理想方法。在现实世界中的应用及其相关问题中，对于具有初始条件边界的简化数学模型来模拟真实情况，总是要满足一些边界条件。基于此思想，ODE和ODEs系统的特征值问题将永远是科学研究的重点。

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《Mathematical Problems in Engineering》 |2013年第10期|643957.1-643957.2|共2页
作者
Mehmet Tarik Atay; Biagio Simonetti; Safa Bozkurt Coskun; D. Venkatesan; Murat Alper Basaran; Massimo Squillante;
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Department of Mathematics, Nigde University, Central Campus, 51100 Nigde, Turkey;

Department of Economical, Juridical and Social Studies, University of Sannio, 82100 Benevento, Italy;

Department of Civil Engineering, Kocaeli University, Umuttepe Campus, 41380 Kocaeli, Turkey;

A-26 Sivasakthi Nagar, 7th Cross, Chidambaram, Tamil Nadu 608001, India;

Alanya Management Engineering Department, Akdeniz University, Kestel Campus, 07425 Alanya, Turkey;

Faculty of Economics and Business Sciences, University of Sannio, Via Delle Puglie 82, 82100 Benevento, Italy;

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1. Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems [J] . Mehmet TarikAtay, BiagioSimonetti, Safa BozkurtCoskun, Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第5期

机译：ODE和ODEs系统特征值问题的数值和软计算方法
2. Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems [J] . Mehmet TarikAtay, BiagioSimonetti, Safa BozkurtCoskun, Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第2期

机译：ODE和ODEs系统特征值问题的数值和软计算方法
3. A Higher Order Multi-step Iterative Method for Computing the Numerical Solution of Systems of Nonlinear Equations Associated with Nonlinear PDEs and ODEs [J] . Ullah Malik Zaka, Serra-Capizzano S., Ahmad Fayyaz, Journal of computational analysis and applications . 2017,第3期

机译：一种高阶多步迭代方法，用于计算与非线性PDE和ODES相关的非线性方程系统数值解
4. A Survey on Methods for Computing Matrix Exponentials in Numerical Schemes for ODEs [C] . Nicoletta Del Buono, Luciano Lopez International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia . 2003

机译：ODE数值方案中矩阵指数的计算方法综述
5. Simulation of engineering systems described by high-index DAE and discontinuous ODE using single step methods. [D] . Compere, Marc Damon. 2001

机译：使用一步法对高指数DAE和不连续ODE描述的工程系统进行仿真。
6. Optimization for Software Implementation of Fractional Calculus Numerical Methods in an Embedded System [O] . Mariusz Matusiak 2020

机译：嵌入式系统中分数微积分数值方法的优化
7. A survey of methods for computing matrix exponentials in numerical schemes for ODEs [O] . DEL BUONO N, LOPEZ L 2003

机译：ODE数值方案中矩阵指数的计算方法概述
8. Stoermer-Cowell and Related Methods for the Numerical Solution of Second Order Periodic Initial Value Problems for Ode's II: Numerical Characteristics of the Methods [R] . Frankena, J. F. 1992

机译：stoermer-Cowell及Ode二阶二阶周期初值问题数值解的相关方法：方法的数值特征

Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems

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