Numerical Analysis of a Fractional Cauchy Problem for the Laplace Equation in an Annular Circular Region

Numerical Analysis of a Fractional Cauchy Problem for the Laplace Equation in an Annular Circular Region

The Cauchy problem for the Laplace equation in an annular bounded region consists of finding a harmonic function from the Dirichlet and Neumann data known on the exterior boundary. This work considers a fractional boundary condition instead of the Dirichlet condition in a circular annular region. We...

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Bibliographic Details
Main Authors: José Julio Conde Mones, Julio Andrés Acevedo Vázquez, Eduardo Hernández Montero, María Monserrat Morín Castillo, Carlos Arturo Hernández Gracidas, José Jacobo Oliveros Oliveros
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Fractal and Fractional
Subjects:
Cauchy problem
inverse problem
ill-posed problem
Laplace equation
fractional boundary condition
Tikhonov regularization
Online Access:https://www.mdpi.com/2504-3110/9/5/284
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