抛物型方程在时间方向上的Chebyshev拟谱逼近(英文)

Chebyshev pseudospectral approximation in time for parabolic partial differential equations

讨论抛物型方向在时间方向上的拟谱逼近问题,将其放到一个双线性泛函满足Necas—Babuska上确界、下确界条件的变分形式中,在理论上建立了拟谱逼近解的误差估计;最后,为了检验所给算法的有效性,给出了一个数值例子.

Chebyshev pseudospectral approximation in time for parabolic partial differential equations is discussed. This problem is set into a variational form which satisfies the inf-sup conditions of Necas-Babuska. Theoretical error estimate is establish for Chebyshev pseudospectral approximation in time. Finally, in order to verify the efficiency of the algorithm, a numerical example is given.