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

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arxiv 2312.00197 v1 pith:S7USYJXD submitted 2023-11-30 math.AP

Shohreh Gholizadeh Siahmazgi , Stephen B. Robinson This is my paper

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keywords klein-gordoniterationmethodsolutionsvariationalairyfunctionsvariable

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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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