Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets

Document Type : Research Paper


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

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


‎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.‎