Implicit Time Splitting for Fourth - Order ParabolicEquationsC
نویسندگان
چکیده
A coordinate-splitting economic diierence scheme is proposed for generalized parabolic equations (GPE) containing fourth-order diiusion operators and the algorithm for its implementation is developed. The performance of the scheme is demonstrated for diierent cases, e.g. for treating bifurcation phenomena. The technique is applied to the numerical solution of Swift-Hohenberg equation describing the Rayleigh-B enard convection and results are obtained for very large system sizes and for very long times on small computational platform.
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