An abstract result is proved for the convergence of Adomian decomposition method for partial differential equations that model evolutionary systems. Moreover, we prove that this decomposition scheme applied to a system of wave equations coupled in parallel with homogeneous Dirichlet boundary conditions, is convergent in a suitable Hilbert space. Furthermore, this technique is utilized to find c...

Laplace decomposition method is based on Laplace transform method and Adomian decomposition method. In this paper we show that the method is applicable to certain successive interval valued linear as well as nonlinear differential-difference equations of order (1, 2), that means the differential is of order one and the difference is of order two. It is also shown that the method gives exact sol...

the presence of van der waals (vdw) force can lead to mechanical instability in freestanding nano-scale actuators. most of the previous researches in this area have exclusively focused on modeling the instability in actuators with one actuating components. while, less attention has been paid to actuators consist of two actuating components. herein, the effect of the vdw force on the instability...