In thc paper, the nonperidic initial value problem for a class of semilinear parabolic equations is considered. We construct the full discrete Chebyshev pseu- dospectral scheme and analyze the error of approximate sol...In thc paper, the nonperidic initial value problem for a class of semilinear parabolic equations is considered. We construct the full discrete Chebyshev pseu- dospectral 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. This method can be applied to other nonlinear problems too.展开更多
文摘In thc paper, the nonperidic initial value problem for a class of semilinear parabolic equations is considered. We construct the full discrete Chebyshev pseu- dospectral 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. This method can be applied to other nonlinear problems too.
