Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions

Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions

In this work, we address the problem of solving nonlinear general Klein–Gordon equations (nlKGEs). Different fourth- and sixth-order, stable explicit and implicit, finite difference schemes are derived. These new methods can be considered to approximate all type of Klein–Gordon equations (KGEs) incl...

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Bibliographic Details
Main Authors: Jesús Martín-Vaquero, Ascensión Hernández Encinas, Araceli Queiruga-Dios, Víctor Martínez, Ángel Martín del Rey
Format: Article
Language:English
Published: Vilnius University Press 2018-02-01
Series:Nonlinear Analysis
Subjects:
Klein–Gordon equations
nonlocal boundary conditions
finite difference methods
consistency
stability
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13352

Internet

http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13352

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