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.


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


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