Alam, MehboobSalahshour, SoheılHaq, SirajulAli, IhteramEbadi, M. J.Salahshour, Soheil2024-05-252024-05-25202312504-311010.3390/fractalfract71208822-s2.0-85180705923https://doi.org/10.3390/fractalfract7120882https://hdl.handle.net/20.500.14517/1310Ebadi, Mohammad Javad/0000-0002-1324-6953; Alam, Mehboob/0000-0001-7721-7767In this paper, a numerical approach employing radial basis functions has been applied to solve time-fractional FitzHugh-Nagumo equation. Spatial approximation is achieved by combining radial basis functions with the collocation method, while temporal discretization is accomplished using a finite difference scheme. To evaluate the effectiveness of this method, we first conduct an eigenvalue stability analysis and then validate the results with numerical examples, varying the shape parameter c of the radial basis functions. Notably, this method offers the advantage of being mesh-free, which reduces computational overhead and eliminates the need for complex mesh generation processes. To assess the method's performance, we subject it to examples. The simulated results demonstrate a high level of agreement with exact solutions and previous research. The accuracy and efficiency of this method are evaluated using discrete error norms, including L2, L infinity, and Lrms.eninfo:eu-repo/semantics/openAccessfractional differential equationmeshless methodradial basis functionsFitzHugh-Nagumo equationstabilityArticleQ1712WOS:001131060900001