On the convergence of the homotopy analysis method for inner-resonance of tangent nonlinear cushioning packaging system with critical components. (English) Zbl 1291.34026

Ghoreishi, Mohammad; Ismail, A. I. B. Md.; Rashid, Abdur

Abstr. Appl. Anal. 2013, Article ID 424510, 10 p. (2013).

Summary: Homotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components. The solution is obtained in the form of infinite series with components which can be easily calculated. Using a convergence-control parameter, the HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution. The obtained results show that the HAM is a very accurate technique to obtain the approximate solution.

MSC:

34A25

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.

References:

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