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arXiv · 2312.00197

On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems

Shohreh Gholizadeh Siahmazgi·Stephen B. Robinson
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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.

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Shohreh Gholizadeh Siahmazgi, Stephen B. Robinson. 2023-11-30. On The Convergence of the Variational Iteration Method Applied to Variable Coefficient Klein-Gordon Problems. https://arxiv.org/abs/2312.00197

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