Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method
Joint Authors
Inc, Mustafa
Akgül, Ali
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations.
We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel theory.
Its exact solution is represented in the form of a series in reproducing kernel Hilbert space.
Some numerical examples are given in order to demonstrate the accuracy of this method.
The results obtained from this method are compared with the exact solutions and other methods.
Results of numerical examples show that this method is simple, effective, and easy to use.
American Psychological Association (APA)
Inc, Mustafa& Akgül, Ali& Kiliçman, Adem. 2013. Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-497292
Modern Language Association (MLA)
Inc, Mustafa…[et al.]. Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-497292
American Medical Association (AMA)
Inc, Mustafa& Akgül, Ali& Kiliçman, Adem. Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-497292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497292