Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets

Document Type : Research Paper

Authors

1 Department of Mathematics Maku Branch, Islamic Azad University, Maku, Iran

2 Faculty of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

Abstract

‎A numerical technique based on the collocation method using Legendre multiwavelets are‎ ‎presented for the solution of forced Duffing equation‎. ‎The operational matrix of integration for ‎Legendre multiwavelets is presented and is utilized to reduce the solution of Duffing equation‎ ‎to the solution of linear algebraic equations‎. ‎Illustrative examples are included to demonstrate‎ ‎the validity and applicability of the new technique.‎

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