Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method | Zendy

Berna Bülbül | Zendy; Mehmet Sezer | Zendy

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Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method

Author(s) -

Berna Bülbül,

Mehmet Sezer

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/691614

Subject(s) - taylor series , mathematics , duffing equation , algebraic equation , matrix (chemical analysis) , taylor's theorem , nonlinear system , collocation (remote sensing) , work (physics) , mathematical analysis , collocation method , differential equation , computer science , ordinary differential equation , physics , materials science , quantum mechanics , machine learning , composite material , thermodynamics

We have suggested a numerical approach, which is based on an improved Taylor matrix method, for solving Duffing differential equations. The method is based on the approximation by the truncated Taylor series about center zero. Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points. Combining these matrix equations and then solving the system yield the unknown coefficients of the solution function. Numerical examples are included to demonstrate the validity and the applicability of the technique. The results show the efficiency and the accuracy of the present work. Also, the method can be easily applied to engineering and science problems

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