Approximate solution of fractional vibration equation using Jacobi polynomials

作者：

Highlights：

• An approximate method using Jacobi polynomials is proposed for the approximate solutions of fractional vibration equation.

• Convergence and numerical stability of the proposed method are shown.

• Results are discussed for different cases of Jacobi polynomials.

• Results are compared with existing analytical methods.

摘要

•An approximate method using Jacobi polynomials is proposed for the approximate solutions of fractional vibration equation.•Convergence and numerical stability of the proposed method are shown.•Results are discussed for different cases of Jacobi polynomials.•Results are compared with existing analytical methods.

论文关键词：Fractional vibration equation,Jacobi polynomials,Convergence analysis,Numerical stability

论文评审过程：Received 5 March 2017, Revised 17 August 2017, Accepted 29 August 2017, Available online 18 September 2017, Version of Record 18 September 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.08.057