University of Tabriz Computational Methods for Differential Equations 2345-3982 11 2 2023 04 01 A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations 357 368 15481 10.22034/cmde.2022.49999.2080 EN Shima Taherkhani Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran Iraj Najafi Khalilsaraye Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran Bakhtiyar Ghayebi Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran Journal Article 2022 01 24 In this paper, a pseudospectral method is proposed for solving the nonlinear time-fractional Klein-Gordon and sine-Gordon equations. The method is based on the Sinc operational matrices. A finite difference scheme is used to discretize the Caputo time-fractional derivative, while the spatial derivatives are approximated by the Sinc method. The convergence of the full discretization of the problem is studied. Some numerical examples are presented to confirm the accuracy and efficiency of the proposed method. The numerical results are compared with the analytical solution and the reported results in the literature.  https://cmde.tabrizu.ac.ir/article_15481_20c3530fcae0c80dab6fa97e9e7015f6.pdf