Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation t...

Full description

Saved in:

Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 16; no. 3; pp. 1216 - 1226
Main Authors:	Saeedi, H., Mohseni Moghadam, M.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-03-2011
Subjects:	Algebra Block pulse function CAS wavelet Computation Computer simulation Fractional calculus Mathematical analysis Mathematical models Nonlinear integro-differential equation Nonlinearity Operational matrix Transforms Wavelet Nonlinear integro-differential equation Operational matrix Block pulse function Fractional calculus CAS wavelet
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	1007-5704 1878-7274
DOI:	10.1016/j.cnsns.2010.07.017