Numerical Analysis of the Fuzzy Integro-Differential Equations using Single-Term Haar Wavelet Series

S. Sekar; C. Jaisankar

doi:https://doi.org/10.14445/22315373/IJMTT-V5P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 5 | Number 2 | Year 2014 | Article Id. IJMTT-V5P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V5P512

Numerical Analysis of the Fuzzy Integro-Differential Equations using Single-Term Haar Wavelet Series

S. Sekar , C. Jaisankar

Abstract

This paper presents numerical analysis of the fuzzy integro-differential equations (FIDE) using Single Term Haar Wavelet Series (STHWS) method [6-9] is considered. The obtained discrete solutions using STHWS are compared with the exact solutions of the FIDE and Trapezoidal quadrature rules (TQR) method [10 ] with suitable example. Table and graph is presented to show the efficiency of this method.

Keywords

Trapezoidal quadrature rules method, Haar wavelets, Single-term Haar wavelet series, integro-differential equations, Fuzzy integro-differential equations.

References

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Citation :

S. Sekar , C. Jaisankar, "Numerical Analysis of the Fuzzy Integro-Differential Equations using Single-Term Haar Wavelet Series," International Journal of Mathematics Trends and Technology (IJMTT), vol. 5, no. 2, pp. 168-175, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V5P512