Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632906 | Applied Mathematics and Computation | 2009 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Malik Mamode,