A local meshless method for time fractional nonlinear diffusion wave equation

We present a radial basis function-based local collocation method for solving time fractional nonlinear diffusion wave equation.The main beauty of the local collocation method is that only the nodes located in the subdomain, surrounding the local collocation point, need to be considered when we are calculating the numerical solution at this point. We also prove the unconditional stability and convergence of the proposed scheme. Some numerical experiments are carried out and numerical results are compared with an analytical solution to confirm the efficiency and reliability of the proposed method.

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