An efficient local meshless approach for solving nonlinear time-fractional fourth-order diffusion model

This paper adopts an efficient meshless approach for approximating the nonlinear fractional fourth-order diffusion model described in Riemann–Liouville sense. A second-order difference technique is applied to discretize temporal derivatives, while radial basis function generated finite scheme approximates spatial derivatives. One key advantage of local collocation method approximation derivatives via formulation, each local-support domain, by deriving functions expansion. Another this that it can be problems with non-regular geometrical domains. For proposed time discretization, unconditional stability examined and error bound obtained. Numerical results illustrate applicability validity confirm theoretical formulation.