Variational iterative method and initial-value problems |
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Authors: | Malik Mamode |
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Affiliation: | Department of Physics, Laboratoire de Physique du Bâtiment et des Systèmes, University of La Réunion, France |
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Abstract: | The variational iterative method is revisited for initial-value problems in ordinary or partial differential equation. A distributional characterization of the Lagrange multiplier - the keystone of the method - is proposed, that may be interpreted as a retarded Green function. Such a formulation makes possible the simplification of the iteration formula into a Picard iterative scheme, and facilitates the convergence analysis. The approximate analytical solution of a nonlinear Klein-Gordon equation with inhomogeneous initial data is proposed. |
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Keywords: | Variational iterative method Initial-value problem Green function Nonlinear Klein-Gordon equation Picard iterative scheme Convergence analysis |
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