Mathematics and Physical Science

An analysis has been carried out on the effects of variable viscosity on the problem of Magnetohydrodynamic fluid flow past an infinite continuous moving sheet embedded in porous media. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The x-axis runs along the permeable continuous moving surface in the direction of the motion and the y-axis is perpendicular to it. The magnetic field is applied along the y axis. The governing equations have been reduced to the coupled non linear partial differential equations. The system of transformed non linear partial differential equations is solved numerically using the finite difference method. The effects of the various parameters on the flow are analyzed and discussed through graphs.

In this study we have investigated a turbulent flow of a rotating fluid past a semi-infinite vertical porous plate subjected to a constant heat flux. A variable magnetic field is applied transversely in the direction normal to the plate. An induced electric current known as Hall current exists due to the presence of both electric field and magnetic field. The differential equations governing this problem are solved numerically using a finite difference scheme. Further we have investigated the effects of various parameters on the velocity, temperature, magnetic field and concentration profile. The skin friction the rate of heat transfer and the rate of mass transfer is calculated using Newton's interpolation formula We noted that the Hall current, rotation parameter, Eckert number, injection and Schmidt number affect the velocity, temperature magnetic field and concentration profiles.

In this study we have investigated a turbulent flow of a rotating system past a semi-infinite vertical porous plate. We have considered the flow in the presence of a variable magnetic field. An induced electric current known as Hall current exists due to the presence of both electric field and magnetic field. As the partial differential equations governing this problem are highly nonlinear, they are solved numerically using a finite difference scheme. Further we have investigated the effects of various parameters on the velocity, temperature and concentration profile. The skin friction and the rate of mass transfer is calculated using Newton's interpolation formula. We have noted that the Hall current, rotation, Eckert number, injection and Schmidt number affect the velocity, temperature and concentration profiles.

In this paper, the numerical effects of asset price fluctuation on the value of an option using a two-dimensional Black-Scholes-Merton partial differential equation have been investigated. The equation governing the value of an option was solved numerically using the Crank-Nicolson finite difference scheme and simulated in MATLAB software to obtain the profiles of the option values. The numerical results obtained from the present study have been presented graphically and also discussed. The effects of varying risk-free interest rate, the volatility of the two assets prices, correlation coefficient between the two asset prices, and dividend payout on the value of an option have been determined. It was observed that an increase in volatility of the two asset prices results in an increase in the values of both the call and put options. It was also noted that an increase in risk-free interest rate results in an increase in the value of a call option but a decrease in the value of a put ...