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Title: A reliable and fast mesh-free solver for the telegraph equation
Authors: İmamoğlu Karabaş, Neslişah
Korkut, Sıla Övgü
Gürarslan, Gürhan
Tanoğlu, Gamze
Keywords: Adaptive method
Mesh-free method
Telegraph equation
Partial differential equations
Publisher: Springer
Abstract: In the presented study, the hyperbolic telegraph equation is taken as the focus point. To solve such an equation, an accurate, reliable, and efficient method has been proposed. The developed method is mainly based on the combination of a kind of mesh-free method and an adaptive method. Multiquadric radial basis function mesh-free method is considered on spatial domain and the adaptive fifth-order Runge–Kutta method is used on time domain. The validity and the performance of the proposed method have been checked on several test problems. The approximate solutions are compared with the exact solution, it is shown that the proposed method has more preferable to the other methods in the literature.
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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