Using HPM for approximating the instability of narrow bio-sensor used in bio-electronic, biology and cancer detection

Recently biosensors become one of the most components in evaluating live systems and medical applications. These applications are detection of cancers, DNA, tumors, cells, bio-enzymes etc. In this paper, we investigate the instability of narrow bio nano electro mechanical system (bio-NEMS) sensor. The proposed HPM is employed to solve nonlinear constitutive equation of cantilever beam-type bio-sensor. An analytical solution is obtained in terms of convergent series with easily computable components. The basic design parameters such as critical cantilever tip deflection of the bio-sensor are comp uted. The analytical results agree well with numerical solutions and those from the literature. © IDOSI Publications, 2012

On the applicability of the Adomian method to initial value problems with discontinuities

AbstractIn this paper we extend our results of L. Casasús, W. Al-Hayani [The decomposition method for ordinary differential equations with discontinuities, Appl. Math. Comput. 131 (2002) 245–251] to initial value problems with several types of discontinuities, giving relevant examples of linear and nonlinear cases