using the highly recommended numerical techniques, a finite element computer code is developed to analyse the steady incompressible, laminar and turbulent flows in 2-d domains with complex geometry. the petrov-galerkin finite element formulation is adopted to avoid numerical oscillations. turbulence is modeled using the two equation k-ω model. the discretized equations are written in the form o...

We consider a family of space discretisations for the approximation of nonlinear parabolic equations, such as the regularised mean curvature flow level set equation, using semi-implicit or fully implicit time schemes. The approximate solution provided by such a scheme is shown to converge thanks to compactness and monotony arguments. Numerical examples show the accuracy of the method.

This paper describes a method for solving hyperbolic partial differential equations using an adaptive grid: the spatial derivatives are discretised with a finite volume method on a grid which is structured and partitioned into blocks which may be refined and derefined as the solution evolves. The solution is advanced in time via a backward differentiation formula. The discretisation used is sec...

A new two-step implicit linear Obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. The purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial Schrodinger equation and related problems. This algorithm belongs in the category of the multist...

Although explicit and implicit knowledge of language learners are essential to theoretical and pedagogical debates in second language acquisition (SLA), little research has addressed the effects of instructional interventions on the two knowledge types (R. Ellis, 2005).This study examined the relative effectiveness of explicit and implicit types of form-focused instruction (FFI) on the acquisit...

Constraint imperative programming is an integration of declarative constraints and imperative object-oriented programming. The primary goal of this integration is to use constraints to express relations among objects explicitly— relations that were implicit in the code in previous languages. However, one of the fundamental concepts of object-oriented programming, object identity, can result in ...

This paper presents a variable step size implicit numerical integration algorithm for dynamic analysis of stiff multibody systems. Stiff problems are very common in real world applications, and their numerical treatment by means of explicit integration is cumbersome or infeasible. Until recently, implicit numerical integration of the equations of motion of stiff mechanical systems has been prob...

williams, watts, macleod and mathews' (1988) model of anxiety and depression leads to the prediction that anxious patients will show mood – congreuent implicit memory bias, while depressed patients will show mood-congruent explicit memory bias.although this prediction has been supported by some researchers (denny & hunt, 1992 mathews, moog, et al , 1989 watkins, et al, 1992), the reliabili...

in this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of tvd (total variation diminishing) of the solution, is proposed. this scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. schemes preserving the essential physical property of tvd are of great importance in practice. such s...

In this paper, a numerical solution of time fractional advection-dispersion equations are presented.The new implicit nite dierence methods for solving these equations are studied. We examinepractical numerical methods to solve a class of initial-boundary value fractional partial dierentialequations with variable coecients on a nite domain. Stability, consistency, and (therefore) convergenceof t...