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Numerical solution of the forced Duffing equations using Legendre multiwavelets | ||
Computational Methods for Differential Equations | ||
مقاله 4، دوره 5، شماره 1، فروردین 2017، صفحه 43-55 اصل مقاله (176.47 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Ramin Najafi* 1؛ Behzad Nemati Saray2 | ||
1Department of Mathematics Maku Branch, Islamic Azad University, Maku, Iran | ||
2Faculty of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Forced Duffing equations؛ Multiwavelet؛ Operational matrix of integration؛ Collocation method | ||
آمار تعداد مشاهده مقاله: 735 تعداد دریافت فایل اصل مقاله: 724 |