A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems

Zhang XH

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A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems

机译：一类非线性奇异边值问题的Adomian分解方法的改进

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In this paper, the Adomian decomposition method is modified to solve a class of nonlinear singular boundary value problems which arise as nonlinear normal modal equations in nonlinear conservative vibratory systems. The effectiveness of the modified method is verified by three examples. (c) 2004 Elsevier B.V. All rights reserved.

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《Journal of Computational and Applied Mathematics》 |2005年第2期|共13页
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Zhang XH;
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正文语种 eng
中图分类应用数学;
关键词
adomian decomposition method; singular boundary value problem; nonlinear normal mode; nonlinear vibration; RELIABLE ALGORITHM; NUMERICAL-SOLUTION; HIGHER-ORDER;

机译：adomian分解法;奇异边值问题;非线性正态模;非线性振动;可靠算法;数值解;高阶;

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专利

1. A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems [J] . Zhang XH Journal of Computational and Applied Mathematics . 2005,第2期

机译：一类非线性奇异边值问题的Adomian分解方法的改进
2. Exact solutions for a class of singular two-point boundary value problems using Adomian decomposition method [J] . A. Ebaid, M. D. Aljoufi Applied mathematical sciences . 2012,第121a124期

机译：一类奇异的两点边值问题的Adomian分解法精确解
3. New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method [J] . RandhirSingh, JitendraKumar, GnaneshwarNelakanti Advances in numerical analysis . 2012,第5期

机译：用Adomian分解法求解一类双奇异两点边值问题的新方法
4. Application of Differential Transform Method and Adomian Decomposition Method for Solving of one Nonlinear Boundary-Value-Transmission Problem [C] . Merve YüCEL, Oktay MUKHTAROV International Conference of Mathematical Sciences . 2019

机译：差分变换法和ADOMIAN分解方法解决一个非线性边界值传输问题的应用
5. A Modification and Application of Parametric Continuation Method to Variety of Nonlinear Boundary Value Problems in Applied Mechanics. [D] . Patil, Akshay. 2016

机译：参数连续法在应用力学中各种非线性边值问题的改进和应用。
6. An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method [O] . Lie-jun Xie, Cai-lian Zhou, Song Xu -1

机译：用改进的微分变换方法解决一类非线性奇异边值问题的有效数值方法
7. A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems [O] . Zhang Xinhua 2005

机译：一类非线性奇异边值问题的Adomian分解方法的改进

A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems

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