%0 Journal Article %T Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Najafi, Ramin %A Nemati Saray, Behzad %D 2017 %\ 01/01/2017 %V 5 %N 1 %P 43-55 %! Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets %K ‎Forced Duffing equations‎ %K ‎Multiwavelet‎ %K ‎Operational matrix of integration‎ %K ‎Collocation‎ ‎method %R %X ‎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.‎ %U https://cmde.tabrizu.ac.ir/article_5861_ca3f0ed7de5017b87aa945ff661cf787.pdf