A new approach for the numerical solution for nonlinear Klein–Gordon equation
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S. Kumbinarasaiah [1]
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[1] Bangalore University
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- Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 77, Nº. 4, 2020, págs. 435-456
- Idioma: inglés
- DOI: 10.1007/s40324-020-00225-y
- Texto completo no disponible (Saber más ...)
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Resumen
In this article, we generated a new operational matrix of integration using Clique polynomials of complete graphs and also introducing a new numerical technique to solve nonlinear Klein–Gordon equation. These equations describe a variety of physical phenomena such as ferroelectric and ferromagnetic domain walls, and DNA dynamics. We obtain an approximate solution for the nonlinear Klein–Gordon equation using the present method by transforming a system of nonlinear algebraic equations. The proposed scheme is applied to some examples and compared with another method in the literature that demonstrates the effectiveness of this method.
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