The effect of partial slip and temperature dependent fluid properties on the MHD mixed convection flow from a heated, non-linearly stretching surface in the presence of radiation and non-uniform internal heat generation/absorption is investigated. The velocity of the stretching surface was assumed to vary according to power-law form. Thermal transport is analyzed for two types of non-isothermal...

2-D mesh-based motion compensation preserves neighboring relations (through connectivity of the mesh) as well as allowing warping transformations between pairs of frames; thus, it eeectively eliminates blocking artifacts that are common in motion compensation by block matching. However , available 2-D mesh models, whether uniform or nonuniform, enforce connectivity everywhere within a frame, wh...

We consider the problem of solving linear systems of equations that arise in the numerical solution of singularly perturbed ordinary and partial differential equations of reaction-diffusion type. Standard discretization techniques are not suitable for such problems and, so, specially tailored methods are required, usually involving adapted or fitted meshes that resolve important features such a...

Singularly perturbed two-point boundary-value problems (BVPs) for fourth-order ordinary differential equations (ODEs) with a small positive parameter multiplying the highest derivative with a discontinuous source term is considered. The given fourth-order BVP is transformed into a system of weakly coupled systems of two second-order ODEs, one without the parameter and the other with the paramet...

A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. particular complimentary error function identified which matches the discontinuity in condition. The difference between this analytical and solution approximated numerically. coordinate transformation used so that layer-adapted mesh can be aligned to interior layer present s...

A self-adaptive mesh method is proposed for the numerical simulations of the Camassa-Holm equation based on its integrable semi-discretization. It is an integrable scheme, possessing the N-soliton solution (see J. Phys. A, 41 355205). Moreover, it is called a self-adaptive mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is...

The motive of this paper is, to develop accurate and parameter uniform numerical method for solving singularly perturbed delay parabolic differential equation with non-local boundary condition exhibiting layers. Also, the term that occurs in space variable gives rise interior layer. Fitted operator finite difference on mesh uses procedures line spatial discretization backward Euler resulting sy...

In this paper we consider singularly perturbed ordinary differential equations with convection terms. An ε-uniformly convergent finite difference scheme is constructed for such boundary value problems by using an upwind finite difference operator and a piecewise uniform mesh. Our primary interest is the design of a numerical method, for which a parallel technique will later be applicable. In th...

A dynamic model of multiple-stage planetary gear train composed of a two-stage planetary gear train and a one-stage parallel axis gear is proposed to be used in wind driven generator to analyze the influence of revolution speed and mesh error on dynamic load sharing characteristic based on the lumped parameter theory. Dynamic equation of the model is solved using numerical method to analyze the...