求解非线性微分差分方程的同胚拉普拉斯分解方法

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2017-07-01 DOI:10.18311/JIMS/2017/14928

R. Rangarajan, S. Kumar

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引用次数: 0

摘要

在最近的文献中，研究了非线性微分方程、积分-微分方程、微分-差分方程和积分-微分-差分方程。拉普拉斯分解法和同伦分析法是近年来研究非线性微分方程、积分-微分方程、微分-差分方程和积分-微分-差分方程的两种强有力的分解方法。拉普拉斯分解法和同伦分析法是文献中用来解决上述非线性问题的两种强有力的分解方法。本文在上述两种方法的启发下，提出了一种求解非线性微分-差分方程和积分-微分-差分方程的新方法。

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Homotopy-laplace Decomposition Method to Solve Nonlinear Differential-difference Equations

In the recent literature, nonlinear differential equations, integro- differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the recent literature, nonlinear dierential equations, integro-differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the literature to solve above nonlinear problems. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.