SOLUTION OF NON-LINEAR KLEIN-GORDAN EQUATION WITH A QUADRATIC NON LINEAR TERM BY ADOMIAN DECOMPOSITION METHOD

K.CH. BASAK; P.CH. RAY; R.K. BERA

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SOLUTION OF NON-LINEAR KLEIN-GORDAN EQUATION WITH A QUADRATIC NON LINEAR TERM BY ADOMIAN DECOMPOSITION METHOD

机译：用二次分解法求解带有二次非线性项的非线性Klein-Gordon方程

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摘要

Nonlinear PDEs are systematically solved by the decomposition method of Adomian for general boundary conditions described by boundary operator equations. In the present case, the solution of the nonlinear Klein-Gordon equation has been considered as an illustration of the decomposition method of Adomian.

机译：对于边界算子方程描述的一般边界条件，通过Adomian分解方法系统地解决了非线性PDE。在当前情况下，非线性Klein-Gordon方程的解被认为是Adomian分解方法的例证。

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《International journal of applied mechanics and engineering》 |2009年第3期|891-897|共7页
作者
K.CH. BASAK; P.CH. RAY; R.K. BERA;
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作者单位

Government College of Engineering and Leather Technology Block-LB, Sector-III Salt Lake City, Kolkata-700098, INDIA;

Government College of Engineering and Leather Technology Block-LB, Sector-III Salt Lake City, Kolkata-700098, INDIA;

Department of Mathematics, Heritage Institute of Technology Anandapur, Kolkata-700107, INDIA;

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原文格式 PDF
正文语种 eng
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关键词
klein-gordon; nonlinear PDE; adomian decomposition method (ADM);

机译：克莱因戈登;非线性PDE亚当分解法（ADM）;

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专利

1. SOLUTION OF NON-LINEAR KLEIN-GORDAN EQUATION WITH A QUADRATIC NON-LINEAR TERM BY ADOMIAN DECOMPOSITION METHOD [J] . K. CH. BASAK, P. CH. RAY, R. K. BERA International Journal of Applied Mechanics and Engineering . 2009,第3期

机译：用二次分解法求解具有二次非线性项的非线性Klein-Gordon方程
2. Solution Of Non-linear Klein-gordon Equation With A Quadratic Non-linear Term By Adomian Decomposition Method [J] . Kartik Chandra Basak, Pratap Chandra Ray, Rasajit Kumar Bera Communications in Nonlinear Science and Numerical Simulation . 2009,第3期

机译：用二次分解法求解具有二次非线性项的非线性Klein-gordon方程
3. Solution of the linear and non-linear Schrodinger equations using homotopy perturbation and Adomian decomposition methods [J] . J. Biazar, R. Ansari, K. Hosseini, International mathematical forum . 2008,第37a40期

机译：利用同伦扰动和Adomian分解方法求解线性和非线性Schrodinger方程
4. Numerical solution of nonlinear Volterra integro-differential equations of fractional order by using Adomian Decomposition Method [C] . Wang Lifeng, Ma Yunpeng, Yang Yongqiang International Conference on Advanced Design and Manufacturing Engineering . 2014

机译：使用ADOMian分解法使用adomian round的非线性Volterra积分微分方程的数值解
5. Parallel domain decomposition methods for stochastic partial differential equations and analysis of nonlinear integral equations. [D] . Jin, Chao. 2007

机译：随机偏微分方程的并行域分解方法和非线性积分方程的分析。
6. A novel technique to solve nonlinear higher-index Hessenberg differential–algebraic equations by Adomian decomposition method [O] . Brahim Benhammouda -1

机译：用Adomian分解法求解非线性高指数Hessenberg微分代数方程的一种新技术。
7. The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations [O] . Huda Omar Bakodah 2012

机译：二次积分方程修正Adomian分解方法中噪声项的出现

SOLUTION OF NON-LINEAR KLEIN-GORDAN EQUATION WITH A QUADRATIC NON LINEAR TERM BY ADOMIAN DECOMPOSITION METHOD

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