Research Article
Fuzzification Of Heat Equation
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 46 - Issue 21 |
| Published: May 2012 |
| Authors: Raphel Kumar Saikia |
10.5120/7066-9722
|
Raphel Kumar Saikia . Fuzzification Of Heat Equation. International Journal of Computer Applications. 46, 21 (May 2012), 23-26. DOI=10.5120/7066-9722
@article{ 10.5120/7066-9722,
author = { Raphel Kumar Saikia },
title = { Fuzzification Of Heat Equation },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 46 },
number = { 21 },
pages = { 23-26 },
doi = { 10.5120/7066-9722 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Raphel Kumar Saikia
%T Fuzzification Of Heat Equation%T
%J International Journal of Computer Applications
%V 46
%N 21
%P 23-26
%R 10.5120/7066-9722
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper we are in search of fuzzy solution of one dimensional Heat Equation. Here we have observed the findings if we use fuzzy intervals at different grid points as per finite difference method of numerical solution of partial differential equation. Bender-Schmidt Recurrence Scheme is used in solving the one dimensional Heat Equation numerically.
References
- Chang, S. L. ,Zadeh,L. A. 1972. On Fuzzy mapping and control, IEEE Trans. Systems man cyber net,2(1972) 30-34.
- Dubois,D. ,Prade,H. 1982. Towards Fuzzy differential calculus, Fuzzy sets and systems, Part 3,8(1982) 225-233.
- Grewal, B. S. 2010. Numerical methods in Engineering and sciences with Programs in C & C++, Khanna Publishers, New Delhi-110002 pp. 343-348.
- Baruah, Hemanta K. 2010a. Construction of the Membership Function of a Fuzzy Number , ICIC Express Letters.
- Baruah, Hemanta K. 2010b. The Mathematics of Fuzziness: Myths and Realities, Lambert Academic Publishing, Saarbruken, Germany.
- Kaufmann, A. , and Gupta, M. M. (1984). Introduction to Fuzzy Arithmetic,Theory and Applications, Van Nostrand Reinhold Co. Inc. ,Wokingham, Berkshire.
- Zadeh, L. A. (1968). Probability Measure of Fuzzy Events, Journal of Mathematical Analysis and Applications, Vol. 23 No. 2, August 1968 (pp 421-427).
- Sastry,S. S. (2009). Introductory Methods of Numerical Analysis, PHI Learning Private Limited, New Delhi-110001.
- Saikia, Raphel Kr. "Numerical Solution of Poisson Equation using fuzzy data", International Journal of Engineering Science and Technology, pp. 8450-8456, 2011.
- Saikia, Raphel Kr. "Solution of Differential Equation by Euler's Method using Fuzzy Concept", International Journal of Computer Techology & Applications,Vol 3 (1), pp. 226-230, 2012.
- Saikia, Raphel Kr. " Solution of Laplace Equation using Fuzzy Data", International Journal of Computer Applications,Vol. 38-No. 8, January 2012 pp. 42-46.
- Saikia, Raphel Kr. " Solution of Differential Equation by Runga-Kutta method in Fuzzified Form", International Journal of Advances in Science and TechnologyVol. 4,No. 1, February 2012 pp. 1-6.
Index Terms
Keywords