In the paper, the nonperidic initial value problem for a class of semilinear parabolic equations is considered. We construct the full discrete Chebyshev pseudospectral scheme and analyze the error of approximate solution for it. We obtain the error estimation on large time using the local continuation method and the existence of approximate global attractor.
半线性抛物型方程 Chebyshev拟谱逼近 大时间误差估计 近似吸引子