Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets

‎A numerical technique based on the collocation method using Legendre multi wavelets 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 equation‎‎to the solution of linear algebraic equations‎. ‎Illustrative examples are included to demonstrate‎‎the validity and applicability of the new technique.‎