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Journal of Engineering Mathematics
Erschienen in: Journal of Engineering Mathematics 1/2019

10.09.2019

Application of the singular boundary method to the two-dimensional telegraph equation on arbitrary domains

verfasst von: Mohammad Aslefallah, Davood Rostamy

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2019

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Abstract

The singular boundary method (SBM) is employed to solve the two-dimensional telegraph equation on arbitrary domains. The Houbolt finite difference method is used to discretize the time derivatives. The original equations are then split into a system of partial differential equations, which is solved using the method of particular solution, in combination with the singular boundary method to obtain the homogeneous solution. Finally, three numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method.
Nächster Artikel 2-D Darcian flow in vicinity of permeable fracture perturbing unidirectional flow in homogeneous formation

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Metadaten
Titel
Application of the singular boundary method to the two-dimensional telegraph equation on arbitrary domains
verfasst von
Mohammad Aslefallah
Davood Rostamy
Publikationsdatum
10.09.2019
Verlag
Springer Netherlands
Erschienen in
Journal of Engineering Mathematics / Ausgabe 1/2019
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-019-10008-8

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