the purpose of this study is to implement a new modification of the variational iteration method (h-s-vim), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. the merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. furthermore the prop...

This paper presents a precise time-step integration method for transient analysis of lossy nonuniform transmission lines. The spatial discretization in this method is the same to the finite difference time domain (FDTD) algorithm. However, in order to eliminate the Courant condition constraint, the precise integration method is utilized in the time-domain calculation. It gives quasi-exact solut...

In this paper a novel automated design procedure based on the integration of a full wave Finite Element Analysis (FEA) and a topology design method employing Sequential Linear Programming (SLP) is introduced. The employed topology design method is the Solid Isotropic Material with Penalization (SIMP) technique which is formulated as a general non-linear optimization problem. SLP is used to solv...

Cliff recession poses a significant threat to the built environment, transportation infrastructure and land use. In this paper, novel computational framework called Nodal-integration based Particle Finite Element Method (N-PFEM) is developed for modelling cliff resulting from weathering-induced landslides. The N-PFEM combines nodal-integration technique with PFEM in second-order cone programmin...

In fracture mechanics and failure analysis, cracked media energy and consequently stress intensity factors (SIFs) play a crucial and significant role. Based on linear elastic fracture mechanics (LEFM), the SIFs and energy of cracked media may be estimated. This study presents the novel modification of decoupled scaled boundary finite element method (DSBFEM) to model cracked media. In this metho...

We present a Bayesian method for estimating small area parameters under an inverse Gaussian model. The method is extended to estimate small area parameters for finite populations. The Gibbs sampler is proposed as a mechanism for implementing the Bayesian paradigm. We illustrate the method by application to household income survey data, comparing it against the usual lognormal model for positive...