Chebyshev finite difference method for a nonlinear system of second-order boundary value problems

Saadatmandi A; Farsangi JA

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Chebyshev finite difference method for a nonlinear system of second-order boundary value problems

机译：二阶边值问题非线性系统的Chebyshev有限差分法

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摘要

The Chebyshev finite difference method is presented for solving a nonlinear system of second-order boundary value problems. Our approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference scheme. Some numerical results are also given to demonstrate the validity and applicability of the presented technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results. (C) 2007 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2007年第2期|共6页
作者
Saadatmandi A; Farsangi JA;
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正文语种 eng
中图分类应用数学;
关键词
Chebyshev finite difference method; nonlinear second-order differential system; numerical methods; Gauss-Lobatto nodes; EQUATIONS;

机译：Chebyshev有限差分法;非线性二阶微分系统;数值方法;Gauss-Lobatto节点;方程;

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专利

1. Chebyshev finite difference method for a nonlinear system of second-order boundary value problems [J] . Saadatmandi A, Farsangi JA Applied mathematics and computation . 2007,第2期

机译：二阶边值问题非线性系统的Chebyshev有限差分法
2. Numerical solution of second-order fuzzy nonlinear two-point boundary value problems using combination of finite difference and Newton's methods [J] . Jameel Ali F., Saaban Azizan, Zureigat Hamzeh H. Neural computing & applications . 2018,第10期

机译：利用有限差分和牛顿方法的二阶模糊非线性两点边值问题的数值解
3. Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems [J] . Tirmizi IA., Twizell EH. Applied mathematics letters . 2002,第7期

机译：非线性二阶两点边值问题的高阶有限差分方法
4. A Study of Quasi-Phase-Matched Second-Order Nonlinear Effects in Optical Waveguides Using an Iterative Finite-Difference Beam Propagation Method [C] . Hsu-Feng Chou, Gin-Chung Wang . 2001

机译：迭代有限差分光束传播方法研究光波导中的准相位匹配二阶非线性效应
5. THE MODELING OF GALVANIC CORROSION SYSTEMS USING NUMERICAL METHODS WITH PARTICULAR ATTENTION TO BOUNDARY CONDITIONS OF NONLINEAR POLARIZATION (ELECTROCHEMISTRY, FINITE-ELEMENT METHODS). [D] . MUNN, RAYMOND SHATTUCK. 1986

机译：电偶腐蚀系统的建模使用数值方法，特别注意非线性极化的边界条件（电化学，有限元方法）。
6. Implicit finite-difference schemes, based on the Rosenbrock method, for nonlinear Schrödinger equation with artificial boundary conditions [O] . Vyacheslav A. Trofimov, Evgeny M. Trykin 2012

机译：基于Rosenbrock方法的含人工边界条件的非线性Schrödinger方程的隐式有限差分格式
7. Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems [O] . Tirmizi I.A., Twizell E.H. 2002

机译：非线性二阶两点边值问题的高阶有限差分方法

Chebyshev finite difference method for a nonlinear system of second-order boundary value problems

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