CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Numerical Solution of Laplace Equation using Fuzzy data

by Raphel Kumar Saikia
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 38 - Number 8
Year of Publication: 2012
Authors: Raphel Kumar Saikia
10.5120/4711-6879

Raphel Kumar Saikia . Numerical Solution of Laplace Equation using Fuzzy data. International Journal of Computer Applications. 38, 8 ( January 2012), 42-46. DOI=10.5120/4711-6879

@article{ 10.5120/4711-6879,
author = { Raphel Kumar Saikia },
title = { Numerical Solution of Laplace Equation using Fuzzy data },
journal = { International Journal of Computer Applications },
issue_date = { January 2012 },
volume = { 38 },
number = { 8 },
month = { January },
year = { 2012 },
issn = { 0975-8887 },
pages = { 42-46 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume38/number8/4711-6879/ },
doi = { 10.5120/4711-6879 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:24:22.714502+05:30
%A Raphel Kumar Saikia
%T Numerical Solution of Laplace Equation using Fuzzy data
%J International Journal of Computer Applications
%@ 0975-8887
%V 38
%N 8
%P 42-46
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we have discussed fuzzification of elliptic partial differential equation taking Laplace Equation in two variable into consideration. While solving this equation numerically at different grid points, on the other hand we want to observe findings using fuzzy intervals. Finite difference method is applied in solving the equation numerically.

References
  1. Chang, S.L.,Zadeh,L.A.1972. On Fuzzy mapping and control, IEEE Trans. Systems man cyber net,2(1972) 30-34.
  2. Dubois,D.,Prade,H.1982. Towards Fuzzy differential calculus, Fuzzy sets and systems, Part 3,8(1982) 225-233.
  3. Grewal, B.S. 2010. Numerical methods in Engineering and sciences with Programs in C & C++, Khanna Publishers, New Delhi-110002 pp. 343-348.
  4. Baruah, Hemanta K. 1999. Set Superimposition and its applications to the Theory of Fuzzy Sets, Journal of Assam Science Society, Vol. 40, Nos. 1 & 2, 25-31.
  5. Baruah, Hemanta K. 2010a. Construction of the Membership Function of a Fuzzy Number , ICIC Express Letters.
  6. Baruah, Hemanta K. 2010b. The Mathematics of Fuzziness: Myths and Realities, Lambert Academic Publishing, Saarbruken, Germany.
  7. Kaufmann, A., and Gupta, M. M. (1984). Introduction to Fuzzy Arithmetic,Theory and Applications, Van Nostrand Reinhold Co. Inc.,Wokingham, Berkshire.
  8. Zadeh, L.A.(1968). Probability Measure of Fuzzy Events, Journal of Mathematical Analysis and Applications, Vol. 23 No. 2, August 1968 (pp 421-427).
  9. Sastry,S.S.(2009). Introductory Methods of Numerical Analysis, PHI Learning Private Limited, New Delhi-110001.
Index Terms

Computer Science
Information Sciences

Keywords

α-cut fuzzy membership function(f.m.f.) interval of confidence triangular fuzzy number(t.f.n.)

Powered by PhDFocusTM