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WEI Wei, WANG Yuan-ming. A Finite Difference Method for Time-periodic Solutions of Nonlinear Parabolic Equations(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (1): 72-79.
Citation:
WEI Wei, WANG Yuan-ming. A Finite Difference Method for Time-periodic Solutions of Nonlinear Parabolic Equations(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (1): 72-79.
WEI Wei, WANG Yuan-ming. A Finite Difference Method for Time-periodic Solutions of Nonlinear Parabolic Equations(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (1): 72-79.
Citation:
WEI Wei, WANG Yuan-ming. A Finite Difference Method for Time-periodic Solutions of Nonlinear Parabolic Equations(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (1): 72-79.
A finite difference method with accuracies of fourth order in space and second order in time is proposed for time-periodic solutions of a nonlinear parabolic boundary value problem. A monotone iterative scheme is developed for proving the existence and uniqueness of the periodic solutions of the nonlinear discrete scheme, and the computational algorithms for the periodic solutions are also provided. The convergence of the discrete scheme is discussed. The numerical results show the advantages of the method.