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A first-second order splitting method for a third-order partial differential equation
Authors:Q. Duan  G. Li  F. A. Milner
Abstract:
A splitting of a third order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally, a full discretization is described based on backward Euler finite differences in time, and error estimates for the resulting approximation are established. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 89–96, 1998
Keywords:finite element method  third-order differential equation
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