Numerical solution of time fractional partial differential equations using multiquadric quasi-interpolation scheme
Keywords:
Time fractional partial, differential equation, multiquadric, quasi-interpolation, schemeAbstract
In this paper, a meshfree method is presented to solve time fractional partial differential equations. It is based on the multiquadric quasi-interpolation operator LW2 . In the present scheme, quadrature formula is used to discretise the temporal Caputo fractional derivative of order α ∈ (0, 1] and the quasiinterpolation is used to approximate the solution function and its spatial derivatives. Our numerical results are compared with the exact solutions as well as the results obtained from the other numerical schemes. It can be easily seen that the proposed method is a reliable and effective method to solve fractional partial differential equation. Furthermore, the stability analysis of the method is surveyed.
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