Numerical solution of Duffing equation by the Laplace decomposition algorithm. (English) Zbl 1096.65067
Summary: The Laplace decomposition algorithm (LDA) is a numerical algorithm and can be adapted to solve Duffing equations. This paper both describes the principle of LDA and discusses its advantages and drawbacks. Concrete example are also studied to show with numerical results how the LDA works efficiently.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A25 | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. |
| 44A10 | Laplace transform |
| 34A34 | Nonlinear ordinary differential equations and systems |
| 65R10 | Numerical methods for integral transforms |
Keywords:
Laplace decomposition algorithm; Duffing equation; Maple; Pade approximant; numerical examplesSoftware:
MapleReferences:
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