A new implicit method has been presented for solving singular initial value problems. The formula has derived in such a way that it excludes the singular point. The method is illustrated by suitable examples (first and second order). To check the results the approximate solutions have been compared to exact solutions KeywordsSingular initial value problems; Lane-Emden equations; Emden-Fowler eq...

Individuals with autism spectrum condition (ASC) have diagnostic impairments in skills that are associated with an implicit acquisition; however, it is not clear whether ASC individuals show specific implicit learning deficits. We compared ASC and typically developing (TD) individuals matched for IQ on five learning tasks: four implicit learning tasks--contextual cueing, serial reaction time, a...

Abstract: We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractiona...

Implicit contextual learning is the ability to acquire contextual information from our surroundings without conscious awareness. Such contextual information facilitates the localization of objects in space. In a typical implicit contextual learning paradigm, subjects need to find a target among a number of distractors during visual search. Some of the configurations of stimuli are repeated duri...

In the standard approach, particle methods for the Boltzmann equation are obtained using an explicit time discretization of the spatially homogeneous Boltzmann equation. This kind of discretization leads to a restriction on the discretization parameter as well as on the diierential cross section in the case of the general Boltzmann equation. Recently, it was shown, how to construct an implicit ...

Over the last few years, Tanzania has witnessed an increased usage and awareness of e-Government services. This is welcome news to all stakeholders in ensuring that services offered by the government and communications between the government and citizens are efficient and effective. Despite the good news, the reality in most cases has been that the e-Government projects are implemented as techn...

In the last years the interest in computer simulations of radioactive waste scenarios has increased. In this article we present numerical simulations with the software package TRAPRO. We consider a system of convection-diffusion-reaction-equations, that we coupled by their reaction terms. We present a new discretization method that improves the explicit discretization for the transportand react...

Some biomechanical models are represented by nonlinear first order ordinary differential equations. The objective of this study is to determine the velocity of a biomechanical model that involves a cyclist coasting downhill. Two methods namely; the modified explicit and diagonally implicit fifth–order Runge–Kutta methods are utilised. The performance of the two methods is compared with the exac...

A 2D Large Time Step (LTS) explicit scheme on structured grids is presented in this work. It is first detailed and analysed for the 2D linear advection equation and then applied to the 2D shallow water equations. The dimensional splitting technique allows us to extend the ideas developed in the 1D case related to source terms, boundary conditions and the reduction of the time step in the presen...

A central theme in contemporary psychology is the distinction between implicit and explicit evaluations. Research has shown various dissociations between the two kinds of evaluations, including different antecedents, different consequences, and discrepant evaluations of the same object. The associative– propositional evaluation (APE) model accounts for these dissociations by conceptualizing imp...