Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45366220200401Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation2352471450910.22055/jacm.2019.28849.1513ENAkbarMohebbiDepartment of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran0000-0002-4146-232XMarziyehSaffarianDepartment of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran0000-0001-9286-3003Journal Article20190309In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ<sup>2</sup>) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained from solving considered model on regular and irregular domains, demonstrate the accuracy and efficiency of the proposed schemes.http://jacm.scu.ac.ir/article_14509_1912c71c376dc776522713124f8da483.pdf