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A Novel Fixed-Point Iteration Approach for Solving Troesch’s Problem

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Publicado en:Symmetry vol. 16, no. 7 (2024), p. 856
Autor principal: Filali, Doaa
Otros Autores: Faeem Ali, Akram, Mohammad, Dilshad, Mohammad
Publicado:
MDPI AG
Materias:
Boundary conditions
Numerical analysis
Green's functions
Methods
Banach spaces
Iterative methods
Nonlinear differential equations
Boundary value problems
Fixed points (mathematics)
Acceso en línea:Citation/Abstract
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Resumen:This paper introduces a novel F fixed-point iteration method that leverages Green’s function for solving the nonlinear Troesch problem in Banach spaces, which are symmetric spaces. The Troesch problem, characterized by its challenging boundary conditions and nonlinear nature, is significant in various physical and engineering applications. The proposed method integrates fixed-point theory with Green’s function techniques to develop an iteration process that ensures convergence, stability, and accuracy. The numerical experiments demonstrate the method’s efficiency and robustness, highlighting its potential for broader applications in solving nonlinear differential equations in Banach spaces.
ISSN:2073-8994
DOI:10.3390/sym16070856
Fuente:Engineering Database