International Journal of Applied Mathematics and Computation 

About: International Journal of Applied Mathematics and Computation is an academic journal. The journal publishes majorly in the area(s): Nonlinear system & Numerical partial differential equations. It has an ISSN identifier of 0974-4665. Over the lifetime, 137 publications have been published receiving 556 citations.

A modified block method for the direct solution of second order ordinary differential equations

Abstract: The direct solution of general second order ordinary differential equation is considered in this paper. The method is based on the collocation and interpolation of the power series approximate solution to generate a continuous linear multistep method. We modified the existing block method in order to accommodate the general nth order ordinary differential equation. The modified block is adopted to generate the independent solution at the grid points. This method was found to be efficient when tested on second order ordinary differential equation

Numerical solution of fuzzy differential equations by third order Runge-Kutta method

Abstract: In this paper we give a numerical algorithm for solving fuzzy differential equations based on Seikkala's derivative of fuzzy process. We discuss in detail a numerical method based on Runge-Kutta method of order 3. The algorithm is illustrated by solving some fuzzy differential equations.

Application of optimal Homotopy asymptotic method to eighth order initial and boundary value problems

Abstract: In this paper, the Optimal Homotopy Asymptotic Method (OHAM) applied to derive solution of eighth order linear and nonlinear boundary value problems. It is observed that OHAM is independent of the free parameter and we get better accuracy. Unlike other analytic methods it gives extremely good results for even large domain. Furthermore, we can easily adjust the convergence domain and control the convergence region. As a result it is concluded that OHAM show fast convergence, simple applicability and easy to implement.

Thermal radiation effects on hydro-magnetic flow due to an exponentially stretching sheet

Abstract: A steady laminar two-dimensional boundary layer flow of a viscous incompressible radiating fluid over an exponentially stretching sheet, in the presence of transverse magnetic field is studied. The non-linear partial differential equations describing the problem under consideration, are transformed into a system of ordinary differential equations using similarity transformations. The resultant system is solved by applying Runge-Kutta fourth order method along with shooting technique. The flow phenomenon has been characterized by the thermo physical parameters such as magnetic parameter (M), radiation parameter (R) and Eckert number (E). The effects of these parameters on the fluid velocity, temperature, wall skin friction coefficient and the heat transfer coefficient have been computed and the results are presented graphically and discussed quantitatively.

Unsteady MHD convective heat and mass Transfer past a semiinfinite vertical porous plate with variable viscosity and thermal conductivity

Abstract: In this article, we studied the effects of variable viscosity and thermal conductivity on an unsteady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid past a semi-infinite vertical porous moving plate taking into account the mass transfer. The fluid viscosity is assumed to vary as a linear function of temperature. It is assumed that the porous plate moves with a constant velocity in the direction of fluid flow, and the free stream velocity follows the exponentially increasing small perturbation law. The governing equations for the flow are transformed into a system of non-linear ordinary differential equations by perturbation technique and are solved numerically by using the shooting method. The effects of the various parameters on the velocity, temperature and concentration profiles are presented graphically and the skin-friction coefficient, Nusselt number and Sherwood number at the plate are shown in Tables.