article Open Access
Variational iteration method for solving coupled nonlinear system of Klein-Gordon equations
International Journal of Statistics and Applied Mathematics · 2022 · Vol. 7(1) · pp. 107–111
Bii Albert✉(Jaramogi Oginga Odinga University of Science and Technology)Titus Rotich(Jaramogi Oginga Odinga University of Science and Technology)Oduor Michael(University of Eldoret)
Abstract
In this paper, variational iteration technique is applied to solve nonlinear coupled Klein-Gordon equations (CNLKGE). The equations arise when dealing with particle physics. The numerical solutions of CNLKGE have been compared to the exact solutions and presented graphically. The results of the proposed method are in good agreement with the exact solutions provided by [1]. The suggested algorithm is efficient and easier to employ compared to other methods like the perturbation method.
Fractional Differential Equations SolutionsNumerical methods for differential equationsIterative Methods for Nonlinear EquationsNonlinear systemKlein–Gordon equationApplied mathematicsMathematicsIterative methodPerturbation (astronomy)Exact solutions in general relativityMathematical analysisMathematical optimizationPhysics
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