Numerical solution of fractional differential, integral and integro‐differential equations by using piecewise constant orthogonal functions | Zendy

Shamloo A. Salimi | Zendy; Babolian E. | Zendy

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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

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)

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