Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633322 | Applied Mathematics and Computation | 2009 | 11 Pages |
Abstract
Picard’s iterative method for the solution of nonlinear advection–reaction–diffusion equations is formulated and its convergence proved. The method is based on the introduction of a complete metric space and makes uses of a contractive mapping and Banach’s fixed-point theory. From Picard’s iterative method, the variational iteration method is derived without making any use at all of Lagrange multipliers and constrained variations. Some examples that illustrate the advantages and shortcomings of the iterative procedure presented here are shown.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.I. Ramos,