1
Department of Mathematics Maku Branch, Islamic Azad University, Maku, Iran
2
Faculty of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran
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.
Najafi, R. and Nemati Saray, B. (2017). Numerical solution of the forced Duffing equations using Legendre multiwavelets. Computational Methods for Differential Equations, 5(1), 43-55.
MLA
Najafi, R. , and Nemati Saray, B. . "Numerical solution of the forced Duffing equations using Legendre multiwavelets", Computational Methods for Differential Equations, 5, 1, 2017, 43-55.
HARVARD
Najafi, R., Nemati Saray, B. (2017). 'Numerical solution of the forced Duffing equations using Legendre multiwavelets', Computational Methods for Differential Equations, 5(1), pp. 43-55.
CHICAGO
R. Najafi and B. Nemati Saray, "Numerical solution of the forced Duffing equations using Legendre multiwavelets," Computational Methods for Differential Equations, 5 1 (2017): 43-55,
VANCOUVER
Najafi, R., Nemati Saray, B. Numerical solution of the forced Duffing equations using Legendre multiwavelets. Computational Methods for Differential Equations, 2017; 5(1): 43-55.
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