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Erschienen in: Engineering with Computers 3/2019

19.10.2018 | Original Article

Numerical solution of 2D and 3D elliptic-type interface models with regular interfaces

verfasst von: Nadeem Haider, Imran Aziz, Siraj-ul-Islam

Erschienen in: Engineering with Computers | Ausgabe 3/2019

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Abstract

In the current paper, two numerical methods are proposed for the numerical solution of two- and three-dimensional elliptic partial differential equations (PDEs) with regular interfaces. The proposed methods are based on meshless collocation and Haar wavelet collocation. Numerical tests are performed to check accuracy and robustness of the proposed methods. Numerical results of the proposed methods are measured in terms of \(L_{\infty }\) error norm to show their better accuracy than the existing methods.

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Metadaten
Titel
Numerical solution of 2D and 3D elliptic-type interface models with regular interfaces
verfasst von
Nadeem Haider
Imran Aziz
Siraj-ul-Islam
Publikationsdatum
19.10.2018
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2019
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0652-0

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