Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System. (30th September 2013)

• Record Type: Journal Article
• Authors: Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming
• Other Names: Toma Cristian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-09-30
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/161030
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the fractional population growth model of a species within a closed system. The main characteristic of the new approach is to convert the problem under study to a nonlinear algebraic equation.