Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India, 144411.
10.22034/cmde.2026.68359.3313
Abstract
The present study examines tsunami-type and oscillatory-type of non-linear waves phenomena based on Klein–Gordon equations within the framework of Bessel collocation method (BCM). The method is based on orthogonal collocation with Bessel polynomials to discretize the problem in space derivatives and a finite difference in time derivatives. The proposed method has been applied to hyperbolic equations by converting them into coupled nonlinear differential equations involving partial derivatives in terms of two interacting configurations. Weighted norm inequalities such as $L_2$-norm and $L_{\infty}$ -norm have been discussed for convergence analysis to understand the effectiveness of the technique at several parameter levels of collocation points, time and step size of time. The error has been validated against exact solutions and results previously published in the literature. The graphical representation of results has been presented through plane graphs and surface plots.
Bala, I. (2026). Study of the nonlinear waves corresponding to the Klein-Gordon equations using Bessel collocation approach. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.68359.3313
MLA
Bala, I. . "Study of the nonlinear waves corresponding to the Klein-Gordon equations using Bessel collocation approach", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.68359.3313
HARVARD
Bala, I. (2026). 'Study of the nonlinear waves corresponding to the Klein-Gordon equations using Bessel collocation approach', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.68359.3313
CHICAGO
I. Bala, "Study of the nonlinear waves corresponding to the Klein-Gordon equations using Bessel collocation approach," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.68359.3313
VANCOUVER
Bala, I. Study of the nonlinear waves corresponding to the Klein-Gordon equations using Bessel collocation approach. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.68359.3313
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