Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method

• 作者: Yin Yang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: LEGENDRE Pseudo-Spectral Method Multi-Order FRACTIONAL DIFFERENTIAL EQUATIONS Caputo DERIVATIVE
• 年，卷（期）: 2013,（1）
• 页码范围: 113-118
• 页数: 6页
• 分类号: O1

摘要

In this paper, we apply the Legendre spectral-collocation method to obtain approximate solutions of nonlinear multi-order fractional differential equations (M-FDEs). The fractional derivative is described in the Caputo sense. The study is conducted through illustrative example to demonstrate the validity and applicability of the presented method. The results reveal that the proposed method is very effective and simple. Moreover, only a small number of shifted Legendre polynomials are needed to obtain a satisfactory result.