Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method

Shokofeh Sharifi and Jalil Rashidinia

Applied Mathematics and Computation, 2016, vol. 281, issue C, 28-38

Abstract: We present a collocation method based on redefined extended cubic B-spline basis functions to solve the second-order one-dimensional hyperbolic telegraph equation. Extended cubic B-spline is an extension of cubic B-spline consisting of a parameter. The convergence and Stability of the method are proved and shown that it is unconditionally stable and accurate of order O(k+h2). Computational efficiency of the method is confirmed through numerical examples whose results are in good agreement with theory. The obtained numerical results have been compared with the results obtained by some existing methods to verify the accurate nature of our method. The advantage of this approach is that it can be conveniently used to solve problem and it is also capable of reducing the size of computational work.

Keywords: Telegraph equation; Redefined extended cubic B-spline; Arbitrary parameter; Stability analysis (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316300492
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:28-38

DOI: 10.1016/j.amc.2016.01.049

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().