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Zbl 0923.35046
He, Jihuan
A new approach to nonlinear partial differential equations. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 2, No.4, electronic paper No.9 (1997). ISSN 1007-5704

Summary: A novel method called variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small perturbations. In this method, a correction functional is constructed by a general Lagrange multiplier, which can be identified via variational theory. An analytical solution can be obtained from its trial function with possible unknown constants, which can be identified by imposing the boundary conditions, by successively iteration.

MSC 2000:: *35G20 General theory of nonlinear higher-order PDE
35A15 Variational methods (PDE)
35G30 Boundary value problems for nonlinear higher-order PDE

Keywords: nonlinear problems; variational iteration method

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Zentralblatt MATH Berlin [Germany]