@article { author = {Najafi, Ramin and Nemati Saray, Behzad}, title = {Numerical solution of the forced Duffing equations‎ ‎ using Legendre multiwavelets}, journal = {Computational Methods for Differential Equations}, volume = {5}, number = {1}, pages = {43-55}, year = {2017}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {}, 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.‎}, keywords = {‎Forced Duffing equations‎,‎Multiwavelet‎,‎Operational matrix of integration‎,‎Collocation‎ ‎method}, url = {https://cmde.tabrizu.ac.ir/article_5861.html}, eprint = {https://cmde.tabrizu.ac.ir/article_5861_ca3f0ed7de5017b87aa945ff661cf787.pdf} }