Saeedi, Habibollah ; Mollahasani, Nasibeh ; Mohseni Moghadam, Mahmoud ; Chuev, Gennady N.
Korbicz, Józef - red. ; Uciński, Dariusz - red.
An operational Haar wavelet method for solving fractional Volterra integral equations
Group publication title:
Subject and Keywords:
fractional Volterra integral equation ; Abel integral equation ; fractional calculus ; Haar wavelet method ; operational matrices
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, Volume 21, Number 3 (2011) ; click here to follow the link