Abstract
The paper aims to put forth a radial basis function-based meshless approach for the numerical solution of the time-fractional nonlinear mixed diffusion and diffusion-wave equation. The time-fractional derivative is defined in Caputo's sense and discretized by the finite difference method. The spatial discretization is done using a radial basis function-based local meshless method. Stability of time semi-discretization is rigorously set up. Proposed method's efficiency is validated with different numerical examples on an irregular domain with uniform and nonuniform points. Numerical results obtained demonstrate the ability and accuracy of the present method.
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