Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs

• 作者: Amr M. S. Mahdy N. A. H. Mukhtar
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: CHEBYSHEV SPECTRAL Method RICCATI DIFFERENTIAL EQUATION Logistic DIFFERENTIAL EQUATION Multi-Order ODES
• 年，卷（期）: mgjssxqkyw_2017,（4）
• 页码范围: 391-401
• 页数: 11页
• 分类号: O1

摘要

In this paper, we build the integral collocation method by using the second shifted Chebyshev polynomials. The numerical method solving the model non-linear such as Riccati differential equation, Logistic differential equation and Multi-order ODEs. The properties of shifted Chebyshev polynomials of the second kind are presented. The finite difference method is used to solve this system of equations. Several numerical examples are provided to confirm the reliability and effectiveness of the proposed method.