International Journal of Mathematics Trends and Technology
Volume 4 | Issue 9 | Year 2013 | Article Id. IJMTT-V4I9P5 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I9P5
In this paper numerical method for solving fuzzy ordinary differential equations using Single Term Haar Wavelet Series (STHWS) method [9-15] is considered. The obtained discrete solutions using STHWS are compared with the exact solutions of the fuzzy differential equations and Runge-Kutta method of order five [7]. Tables and graphs are presented to show the efficiency of this method. This STHW can be easily implemented in a digital computer and the solution can be obtained for any length of time.
[1] S. Abbasbandy and T. Allahviranloo, “Numerical solutions of fuzzy differential equations by Taylor method”, Journal of Computational Methods in Applied Mathematics. vol.2, pp. 113-124, 2002.
[2] J.J. Buckley and E. Eslami, Introduction to Fuzzy Logic and Fuzzy Sets, Physica- Verlag, Heidelberg, Germany, 2001.
[3] J.J. Buckley, E. Eslami and T. Feuring, Fuzzy Mathematics in Economics and Engineering, Physica-Verlag, Heidelberg, Germany, 2002.
[4] C. Duraisamy and B. Usha, “Another Approach to Solution of Fuzzy Differential Equations”, Applied Mathematical Sciences, vol.4, No.16, 777-790, 2010.
[5] C. Duraisamy and B. Usha, “Numerical Solution of Fuzzy Differential Equations by Taylor method”, International journal of Mathematical Archive, vol.2, 2011.
[6] James J. Buckley and Thomas Feurihg, “Fuzzy Differential Equations”, Fuzzy Sets and Systems,vol.110, pp.43-54, 2000.
[7] T. Jayakumar, D. Maheskumar and K. Kanagarajan, “Numerical Solution of Fuzzy Differential Equations by Runge Kutta Method of Order Five”, Applied Mathematical Sciences, vol. 6, no. 60, pp. 2989 – 3002,2012.
[8] M. Ma, M. Friedman and A. kandel, “Numerical Solutions of Fuzzy Differential Equations”, Fuzzy Sets and Systems, vol.105, 133-138, 1999.
[9] S. Sekar and A. Manonmani, “A study on time-varying singular nonlinear systems via single-term Haar wavelet series”, International Review of Pure and Applied Mathematics, vol.5, pp. 435-441, 2009.
[10] S. Sekar and G.Balaji, “Analysis of the differential equations on the sphere using single-term Haar wavelet series”, International Journal of Computer, Mathematical Sciences and Applications, vol.4, pp.387-393, 2010.
[11] S. Sekar and M. Duraisamy, “A study on CNN based hole-filler template design using single-term Haar wavelet series”, International Journal of Logic Based Intelligent Systems, vol.4, pp.17-26, 2010.
[12] S. Sekar and K. Jaganathan, “Analysis of the singular and stiff delay systems using single-term Haar wavelet series”, International Review of Pure and Applied Mathematics, vol.6, pp. 135-142, 2010.
[13] S. Sekar and R. Kumar, “Numerical investigation of nonlinear volterra-hammerstein integral equations via single-term Haar wavelet series”, International Journal of Current Research, vol.3, pp. 099-103, 2011.
[14] S. Sekar and E. Paramanathan, “A study on periodic and oscillatory problems using single-term Haar wavelet series”, International Journal of Current Research, vol.2, pp. 097-105, 2011.
[15] S. Sekar and M. Vijayarakavan, “Analysis of the non-linear singular systems from fluid dynamics using single-term Haar wavelet series”, International Journal of Computer, Mathematical Sciences and Applications, vol.4, pp. 15-29, 2010.
S. Sekar, S. Senthilkumar, "Single Term Haar Wavelet Series for Fuzzy Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 9, pp. 181-188, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I9P5
PDF 
Abstract 
Keywords 
References 
Citation