Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 768963, 13 pages.
Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method
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.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 768963, 13 pages.
First available in Project Euclid: 26 February 2014
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Inc, Mustafa; Akgül, Ali; Kılıçman, Adem. Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 768963, 13 pages. doi:10.1155/2013/768963. https://projecteuclid.org/euclid.aaa/1393448836