Construction and Investigation of a Fourth Order of Accuracy Decomposition Scheme for Nonhomogeneous Multidimensional Hyperbolic Equation
Abstract
In the present work a fourth order accuracy decomposition scheme is constructed for a multidimensional nonhomogeneous hyperbolic equation on the basis of rational splitting of cosine operator-function. The main operator of the equation is self-adjoint and positive definite. The stability of the constructed scheme is shown and the error of the approximate solution is estimated. On the basis of the constructed scheme, numerical calculations of test problems for three-dimensional case are carried out. The numerical results obtained verify that the suggested scheme has a fourth order accuracy. © 2014 Copyright Taylor and Francis Group, LLC.
Recommended Citation
N. Dikhaminjia et al., "Construction and Investigation of a Fourth Order of Accuracy Decomposition Scheme for Nonhomogeneous Multidimensional Hyperbolic Equation," Numerical Functional Analysis and Optimization, vol. 35, no. 3, pp. 275 - 293, Taylor and Francis Group; Taylor and Francis, Mar 2014.
The definitive version is available at https://doi.org/10.1080/01630563.2013.812423
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Abstract hyperbolic equation; Decomposition scheme; Multidimensional hyperbolic equation; Operator split; Rational approximation
International Standard Serial Number (ISSN)
1532-2467; 0163-0563
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
04 Mar 2014
