Title of article :
AN APPLICATION OF S-ELEMENTARY WAVELETS IN NUMERICAL SOLUTION OF DIFFERENTIAL and FRACTIONAL INTEGRAL EQUATIONS
Author/Authors :
Kheirdeh, Mohammad Javad Department of Mathematics - Payame Noor University (PNU) - Tehran, Iran , Askari hemmat, Ataollah Department of Applied Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Iran , Saeedi, Habibollah Department of Applied Mathematics - Faculty of Mathematics and Computer & Mahani Mathematical Research Center - Shahid Bahonar University of Kerman - Kerman, Iran
Abstract :
Abstract. In this article, we introduce wavelet sets and consider a spe- cial wavelet set in R. We build a basis associated with this type of wavelet
sets and use an operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order alpha > 0, numerically. Convergence analysis of this method is in- vestigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods.
Keywords :
Fractional integral equation , Differential equation , Wavelet sets , s-elementary wavelets
Journal title :
Journal of Mahani Mathematical Research Center
