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Reseach Article

Approximate Solution of Wave Equation using Fuzzy Number

by M. Aylin Bayrak
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 19
Year of Publication: 2013
Authors: M. Aylin Bayrak
10.5120/11684-7389

M. Aylin Bayrak . Approximate Solution of Wave Equation using Fuzzy Number. International Journal of Computer Applications. 68, 19 ( April 2013), 1-3. DOI=10.5120/11684-7389

@article{ 10.5120/11684-7389,
author = { M. Aylin Bayrak },
title = { Approximate Solution of Wave Equation using Fuzzy Number },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 19 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-3 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number19/11684-7389/ },
doi = { 10.5120/11684-7389 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:28:16.518469+05:30
%A M. Aylin Bayrak
%T Approximate Solution of Wave Equation using Fuzzy Number
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 19
%P 1-3
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the fuzzy solution of the initial boundary value problem of hyperbolic one-dimensional wave equation is considered. The solution by finite difference method is observed by using fuzzy intervals.

References
  1. Zadeh L. A. , Fuzzy Sets, Inform. Control 8 (1965)338-353.
  2. Dubois D. , Prade H. , Fuzzy Sets and Systems. Theory and Applications, Academic Press, New York,1980.
  3. Dubois D. , Prade H. , Possibility Theory. An approach to computerized processing of uncertainty, Plenum Press, New York, 1988.
  4. Kaleva O. , Fuzzy Differential Equations, Fuzzy sets and systems 24 (1987)301-317.
  5. Kaleva O. , The cauchy problem for fuzzy differential equations, Fuzzy sets and systems 35 (1990)389-396.
  6. Abbasbandy S. , Allahviranloo T. , Numerical solution of fuzzy differential equations by Taylor method, Journal of Computational Methods in Applied Mathematics 2 (2002)113-124.
  7. Abbasbandy S. , Allahviranloo T. , O. Lopez-Pouso, J. J. Nieto, Numerical methods for fuzzy differential inclusions, Journal of Computer and Mathematics with Applications 48 (2004)1633- 1641.
  8. Friedman M. , Ma M. , Kandel A. , Numerical solutions of fuzzy differential and integral equations, Fuzzy sets and systems 106 (1999)35-48.
  9. Ma M. , Friedman M. , Kandel A. , Numerical solutions of fuzzy differential equations, Fuzzy sets and systems 86 (1997) 331-334.
  10. Kaufman A. , Gupta M. M. , Introduction to fuzzy arithmetic, Theory and applications, Van Nostrand Reinhold Co. Inc. , Workingham, Berkshire,1984.
  11. Dutta P. , Boruah H. , Ali T. , Fuzzy arithmetic with and without using -cut method: A comparative study, International Journal of Latest trends in computing 2(1) (2011)99-107.
  12. Guerra M. L. , Stefanini L. , Approximate fuzzy arithmetic operations using monotonic interpolants, Fuzzy sets and systems 150 (2005)5-33.
  13. Ramana B. V. , Higher Engineering Mathematics, McGraw Hill Publishing Company, New Delhi, 2008.
  14. Saikia R. K. , Fuzzification of heat equation, International journal of computer applications 46(21) (2012)23-26. 3
Index Terms

Computer Science
Information Sciences

Keywords

-cut fuzzy membership function triangular fuzzy number fuzzy interval