基于Adomian分解法的三阶非线性微分方程处理

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2017-01-01 DOI:10.1112/S1461157017000018

Xueqin Lv, Jianfang Gao

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引用次数: 5

摘要

Adomian分解法(ADM)是求解线性和非线性常微分方程、微分代数方程、偏微分方程、随机微分方程和积分方程的有效方法。在此基础上，引入了一种新的三阶边值问题的解析和数值处理方法。数值算例验证了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Treatment for third-order nonlinear differential equations based on the Adomian decomposition method

The Adomian decomposition method (ADM) is an efficient method for solving linear and nonlinear ordinary differential equations, differential algebraic equations, partial differential equations, stochastic differential equations, and integral equations. Based on the ADM, a new analytical and numerical treatment is introduced in this research for third-order boundary-value problems. The effectiveness of the proposed approach is verified by numerical examples.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.