On the numerical solution of a parabolic Fredholm integro-differential equation by the RBF method

On the numerical solution of a parabolic Fredholm integro-differential equation by the RBF method

This paper presents the numerical solution of an initial boundary value problem for a parabolic Fredholm integro-differential equation (FIDE) in bounded 2D and 3D spatial domains. To reduce the dimensionality of the problem, we employ the Laguerre transformation and Rothe’s method, with both first-...

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Bibliographic Details
Main Authors: Ihor Borachok, Roman Chapko, Oksana Palianytsia
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Results in Applied Mathematics
Subjects:
Parabolic Fredholm integro-differential equation
Dirichlet boundary value problem
Laguerre transformation
Rothe’s method
Radial basis functions
Kansa method
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037425000238

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http://www.sciencedirect.com/science/article/pii/S2590037425000238

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