Premium
Numerical solution of fractional differential, integral and integro‐differential equations by using piecewise constant orthogonal functions
Author(s) -
Shamloo A. Salimi,
Babolian E.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701069
Subject(s) - piecewise , mathematics , constant (computer programming) , mathematical analysis , differential equation , interval (graph theory) , constant coefficients , differential (mechanical device) , physics , computer science , combinatorics , thermodynamics , programming language
Abstract We use operational matrices of piecewise constant orthogonal functions on the interval [0, 1] to solve fractional differential, integral and integro‐differential equations. We first use operational matrices and then convert the problem to a system of linear equations. Numerical examples show that the approximate solutions have a good degree of accuracy. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)