A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two-dimensional second-order hyperbolic telegraph equations.
Since these hyperbolic telegraph equations are time dependent, we present two schemes for the basis functions from radial and nonradial aspects.
The first scheme is fulfilled by considering time variable as normal space variable to construct an “isotropic” space-time radial basis function.
The other scheme considered a realistic relationship between space variable and time variable which is not radial.
The time-dependent variable is treated regularly during the whole solution process and the hyperbolic telegraph equations can be solved in a direct way.
Numerical experiments performed with the proposed numerical scheme for several two-dimensional second-order hyperbolic telegraph equations are presented with some discussions, which show that the DMM solutions are converging very fast in comparison with the various existing numerical methods.
American Psychological Association (APA)
Wang, F. Z.& Hou, E. R.. 2020. A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188228
Modern Language Association (MLA)
Wang, F. Z.& Hou, E. R.. A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188228
American Medical Association (AMA)
Wang, F. Z.& Hou, E. R.. A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188228
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188228