Existence of Solutions of Boundary Value Problem for Nonlinear One-Dimensional Wave Equations by Fixed Point Method

In this article, we investigate the solutions for a class of initial boundary value problems for nonlinear one-dimensional wave equations using a fixed point method. The findings consider initial and boundary data which lead to determining the nature of classes of the nonlinear one-dimensional wave...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-08, Vol.2022, p.1-12
Main Authors: Gusu, Daba Meshesha, Danu, Megersa
Format: Article
Language:English
Subjects:
Applied mathematics
Boundary conditions
Boundary value problems
Fluid mechanics
Mathematical problems
Partial differential equations
Wave equations
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Summary:In this article, we investigate the solutions for a class of initial boundary value problems for nonlinear one-dimensional wave equations using a fixed point method. The findings consider initial and boundary data which lead to determining the nature of classes of the nonlinear one-dimensional wave equation. The obtained results indicate the availability of nonnegative solutions which are proved using the method of the fixed point. A new fixed point approach is effective and used as a definitive modeling method to prove the existence of nonnegative solutions for a class of initial boundary value problems based on recent theoretical arguments. The results in this study are considered with examples.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/5099060