In this paper, the homotopy Pade technique is presented as an alternative method to derive the analytical solution for nonlinear dynamical system. Illustrative example is used to show the validity and accuracy of the method in solving the nonlinear system. Comparisons are conducted between the analytical approximation and numerical solution. The results obtained here demonstrate that the homoto...

In 2013, planar chromatography will celebrate its 75th anniversary [1]. It seems to be an old technique with minor contribution to analytical tasks of today and, based on its versatility in the performance level, controversy is an ongoing issue for planar chromatography. It depends on the level of advanced knowledge and experience of the analyst, whether it is considered as a unique chromatogra...

In this study, an accurate analytical solution for Duffing equations with cubic and quintic nonlinearities is obtainedusing theHomotopyAnalysisMethod (HAM) andHomotopy Pade technique. Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison between the obtained results andnumerical solutions shows that only the first order approximation of the Homotopy ...

In this paper, we implement a relatively new analytical technique, which is obtained by combining the variational iteration method and the decomposition method (VIDM) for solving the fifth-ordr boundary value problems.The analytical results of the equations have been obtained in terms of convergent series with easily computable components. The method is quite efficient and is practically well s...

In this paper we discuss the application of our recently de-veloped nonlinear analytical redundancy (NLAR) fault detection techniqueto a two-degree of freedom robot manipulator. NLAR extends the tradi-tional linear AR technique to derive the maximum possible number of in-dependent model-based fault detection tests into the continuous nonlineardomain. The ability to handle no...

We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerica...

Nowadays terahertz spectroscopy is a well-established technique and recent progresses in technology demonstrated that this new technique is useful for both fundamental research and industrial applications. Varieties of applications such as imaging, non destructive testing, quality control are about to be transferred to industry supported by permanent improvements from basic research. Since chem...

Nowadays, effective and competitive company operation can be achieved through incorporating the concept of supply chain operation into company management. Inventory control, as a critical part of the supply chain management, becomes the second most frequent application area for simulation technique in logistics (after manufacturing). The dynamics of supply chain operation is characterised by th...