【摘要】 主要研究了时间分数阶扩散方程的高阶数值解法。在空间方向上利用Fourier谱方法，在时间方向上采用谱延迟校正方法，得到空间和时间方向均有谱精度的离散格式，并证明离散格式的稳定性和收敛性。最后通过数值例子验证了数值方法的可行性与有效性。更多还原

【Abstract】 This paper mainly studies the high-order numerical solution of time fractional diffusion equation.Using Fourier spectral method in space direction and spectral deferred correction method in time direction, a discrete scheme with spectral accuracy in space and time direction is obtained, and the stability and convergence of the scheme are proved.Finally, a numerical example is given to verify the feasibility and effectiveness of the numerical method.更多还原