On solving systems of multi-pantograph equations via spectral tau method

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摘要

The current manuscript focuses on solving systems of multi-pantograph equations. The spectral tau method is applied for solving systems of multi-pantograph equations with shifted Jacobi polynomials as basis functions. The convergence analysis of the proposed technique is also investigated. We introduced the numerical solutions of some test problems and compared the obtained numerical solutions of such problems with those given using different numerical methods.

论文关键词:Jacobi polynomials,Spectral tau method,Pantograph differential equations,System of differential equations

论文评审过程:Received 10 April 2017, Revised 15 September 2017, Accepted 8 October 2017, Available online 9 November 2017, Version of Record 9 November 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.10.014