On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems
Analysis of PDEs
2023-12-04 v1
Abstract
In this paper, we give a formulation of the variational iteration method that makes it suitable for the analysis of the solutions of Klein-Gordon equations with variable coefficients. We particularly study a Klein-Gordon problem which has solutions in terms of Airy functions. We prove that the sequence of approximate solutions generated by the variational iteration method for such Klein-Gordon equation converges to Airy functions.
Cite
@article{arxiv.2312.00197,
title = {On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems},
author = {Shohreh Gholizadeh Siahmazgi and Stephen B. Robinson},
journal= {arXiv preprint arXiv:2312.00197},
year = {2023}
}