Sinusoidal Time-Dependent Power Series Solution to Modified Duffing Equation

• 作者: Haiduke Sarafian
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: DUFFING EQUATION MODIFIED DUFFING EQUATION Nonlinear QUARTIC and Quintic Terms Mathematica
• 年，卷（期）: 2018,（3）
• 页码范围: 259-268
• 页数: 10页
• 分类号: O1

摘要

Duffing equation,, has a standard well-known ex-act solution [1]. Approximate solutions to this equation also are available [2]. Reference [3] [4] introduces a sinusoidal time-dependent Power Series solution. Applying this method successfully we investigate the approximate solution of the modified Duffing equations,, for n = 4 and 5. Symbolic manipulative utilities of a Computer Algebra System (CAS) specifically Mathematica [5] extensively is used investigating the results.