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Cubic Spline Method for 1D Wave Equation in Polar Coordinates
Joint Authors
Mohanty, R. K.
Dahiya, Vijay
Kumar, Rajive
Source
ISRN Computational Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Using nonpolynomial cubic spline approximation in space and finite difference in time direction, we discuss three-level implicit difference scheme of O(k2+h4) for the numerical solution of 1D wave equations in polar coordinates, where k>0 and h>0 are grid sizes in time and space coordinates, respectively.
The proposed method is applicable to problems with singularity.
Stability theory of the proposed method is discussed, and numerical examples are given in support of the theoretical results.
American Psychological Association (APA)
Mohanty, R. K.& Kumar, Rajive& Dahiya, Vijay. 2011. Cubic Spline Method for 1D Wave Equation in Polar Coordinates. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-461743
Modern Language Association (MLA)
Mohanty, R. K.…[et al.]. Cubic Spline Method for 1D Wave Equation in Polar Coordinates. ISRN Computational Mathematics No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-461743
American Medical Association (AMA)
Mohanty, R. K.& Kumar, Rajive& Dahiya, Vijay. Cubic Spline Method for 1D Wave Equation in Polar Coordinates. ISRN Computational Mathematics. 2011. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-461743
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461743