Application of variational iteration method for solving singular two point boundary value problems

Theory of Approximation and Applications

مقاله 2، دوره 9، شماره 1، مرداد 2015، صفحه 17-29   

نوع مقاله: Research Articles

نویسنده

شادان صدیق بهزادی^*

دانشگاه آزاد اسلامی واحد قزوین

چکیده

In this paper, He's highly prolic variational iteration method is applied ef-
fectively for showing the existence, uniqueness and solving a class of singular
second order two point boundary value problems. The process of nding solu-
tion involves generation of a sequence of appropriate and approximate iterative
solution function equally likely to converge to the exact solution of the given
problem which being processed out and improvised on its own at every step re-
cursively. Moreover, Illustrative examples available to the context in literature
when treated with, by application of such proposed method fetch encouraging
results so as to justify and reveal its eciency and usefulness of the method.