in this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. the numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. in order to get a numerical solution for the derivative of the solution, the given interval is divided  in...

In this article, we propose and analyze a fully coupled, nonlinear, energy-stable virtual element method (VEM) for solving the coupled Poisson-Nernst-Planck (PNP) Navier--Stokes (NS) equations modeling microfluidic electrochemical systems (diffuse transport of charged species within incompressible fluids through electrostatic forces). A mixed VEM is employed to discretize NS whereas classical i...

In the numerical simulation of blood ow problems it might happen that the only available physical boundary conditions prescribe the ow rate incoming=outgoing the vascular district at hand. In order to have a well-posed Navier–Stokes (NS) problem, these conditions need to be completed. In the bioengineering community, this problem is usually faced by choosing a priori a velocity pro le on the in...

This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of the ground state modes of wave function for the hydrogen R(r) or the electron probability density function, has been presented. The numerical results ha...

Pïcosecond time dependent fluorescente depolarization has been used to measure the rotational diff=sion time of 3,3’iliethyloxadicarjocyanine iodide (DODCI) in solution at 293 K: the stable form of DODCI was shown to have a “coiled” form, the cis,&-1 ,%conformation, whereas the photoisomer formed bu tiradiating DODCI in solution was shown to be tbe elongated all-trnrzs-isomer. The stable form h...

In this article we have considered a non-standard finite difference method for the solution of second order  Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...

This article is concerned with a new outlier-resistant observer-based control problem for class of networked systems (NSs) under the encoding–decoding communication mechanism (EDCM). In order to lighten burden and enhance data security, EDCM introduced in observer-to-controller channel. case measurement outliers, specific saturation function adopted observer structure restrain abnormal innovati...

in this paper, we propose a new numerical method for solution of urysohn two dimensional mixed volterra-fredholm integral equations of the second kind on a non-rectangular domain. the method approximates the solution by the discrete collocation method based on inverse multiquadric radialbasis functions (rbfs) constructed on a set of disordered data. the method is a meshless method, because it i...

‎in the present analysis‎, ‎we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface‎. ‎the effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat‎. ‎using suitable transformations‎, ‎the governing partial differential equations are first converted to ordin...