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Engineering with Computers
Erschienen in: Engineering with Computers 2/2022

06.07.2020 | Original Article

Integrated radial basis functions (IRBFs) to simulate nonlinear advection–diffusion equations with smooth and non-smooth initial data

verfasst von: Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh

Erschienen in: Engineering with Computers | Ausgabe 2/2022

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Abstract

In this article, a meshfree method for the numerical solution of conversation law equations is considered. Some problems which have shock such as advection problems are not properly solved by radial basis function collocation meshfree method. Therefore, we use the integrated radial basis function (IRBF) method for some of these problems. In the current study, the governing models have been discretized by IRBF technique in the spatial direction and by finite difference approximation for time variable. This converts the main problem to a system of nonlinear ordinary differential equations (ODEs). Furthermore, the obtained ODEs will be solved by Runge–Kutta technique. This is the meshless method of lines technique. Numerical examples indicate the acceptable accuracy, proficiency and easy implementation of the presented method.
Vorheriger Artikel Reliability evaluation and importance analysis of structural systems considering dependence of multiple failure modes
Nächster Artikel Stability of hydromagnetic boundary layer flow of non-Newtonian power-law fluid flow over a moving wedge

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Metadaten
Titel
Integrated radial basis functions (IRBFs) to simulate nonlinear advection–diffusion equations with smooth and non-smooth initial data
verfasst von
Ali Ebrahimijahan
Mehdi Dehghan
Mostafa Abbaszadeh
Publikationsdatum
06.07.2020
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 2/2022
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01039-2

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