A Numerical Method for Solving of the Boundary Value Problems for Ordinary Differential Equations

Ghiocel Groza; Nicolae Pop

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A Numerical Method for Solving of the Boundary Value Problems for Ordinary Differential Equations

机译：求解常微分方程边值问题的一种数值方法。

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摘要

Newton interpolating series constructed by means of Newton interpolating polynomials are used to obtain approximate solutions of boundary value problems for linear differential equations.

机译：利用牛顿插值多项式构造的牛顿插值级数获得线性微分方程的边值问题的近似解。

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来源
《Results in Mathematics》 |2009年第4期|295-302|共8页
作者
Ghiocel Groza; Nicolae Pop;
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作者单位

Department of Mathematics and Computer Science Technical University of Civil Engineering Lacul Tei 124 RO-020396 Bucharest Romania;

Department of Mathematics and Computer Science North University of Baia Mare Victoriei 76 RO-43012 Baia Mare Romania;

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正文语种 eng
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Primary 34B10; Secondary 65L10; Newton interpolating series; boundary value problem;

机译：小学34B10;中学65L10;牛顿插值级数;边值问题;

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1. A Numerical Method for Solving of the Boundary Value Problems for Ordinary Differential Equations [J] . Ghiocel Groza, Nicolae Pop Results in mathematics . 2009,第3a4期

机译：求解常微分方程边值问题的一种数值方法。
2. In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. [J] . M. M. Khader, M. Adel Nonlinear engineering: Modeling and application . 2016,第3期

机译：在本文中，我们采用分数阶复杂变换方法将非线性分数阶Klein-Gordon方程（FKGE）转换为常微分方程。我们使用变分迭代方法（VIM）来解决所得的ODE。分数导数以Caputo形式表示。提出了一些数值例子来验证所提出的技术。最后，与使用四阶Runge-Kutta的数值解进行了比较。
3. A Particle Swarm Optimization-Based Method for Numerically Solving Ordinary Differential Equations [J] . Zhong Xian-Ci, Chen Jia-Ye, Fan Zhou-Yang Mathematical Problems in Engineering . 2019,第PTa24期

机译：基于粒子群优化的数值求解常微分方程的方法
4. Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations [C] . Luigi Brugnano International workshop on numerical analysis and its applications . 1997

机译：常微分方程数值近似的边值法
5. Meshless Methods for Numerically Solving Boundary Value Problems of Elliptic Type Partial Differential Equations [D] . Choi, Minhwa 2018

机译：数值求解椭圆型偏微分方程边值问题的无网格方法
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS [O] . Che Haziqah Che Hussin, Arif Mandangan, Adem Kilicman, 2016

机译：求解常微分方程的第六阶边值问题的差分变换方法
8. STABILITY CHARTS OF VARIOUS NUMERICAL METHODS USED FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS [R] . Pamela A. Hafner 1969

机译：求解常微分方程组的各种数值方法的稳定性图

A Numerical Method for Solving of the Boundary Value Problems for Ordinary Differential Equations

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