Applied Mathematics

In this paper, we consider the stability of the An Alternating Direction Explicit Scheme for solving two-dimensional Sine-Gordon Equation .The derivation of the An Alternating Direction implicit Scheme schemes was presented. The stability and consistency of the scheme are described . The scheme is found to be unconditionally stable and convergent.

In this paper, the North east corner [ NEM ] procedure is successfully coded and tested via many randomly generated problem instances . Based on the results we can conclude that the correctness of the newly coded NEM is promising as compared with the previously coded one. We Select very big problem of Transportation problem using Object oriented programming in Java and develop a NEM in Java Flowchart, Algorithm, program.In this paper submitted in screen short.

The model of mass transfer unsteady free convection two-dimensional flow of an incompressible, electrically conducting viscous fluid along an infinite vertical porous plate through porous medium with time dependant Permeability and oscillatory suction in the presence of chemically reacting species has been studied. The dimensionless governing equations are solved using Perturbation technique. The results are obtained for velocity, concentration, Sherwood number and skin friction. The effect of various material parameters are discussed on flow variable and presented by graphs and tables.

In this paper, we explore different notions of sets namely ?-open , semi-open , pre-open , b-open and ?-open to define the concept of delta-convergence and delta-adherence of grills in a topological space. Further, we discuss their characterizations

The unsteady free convection flow of a laminar viscous, incompressible, electrically conducting with chemical reactive species and heat generation fluid past a semi-infinite vertical plate embedded in uniform porous medium with slip flow region has been studied. The governing equations are solved analytically using perturbation techniques. The influences of the various parameters on the flow field, Temperature field, Mass concentration field, Skin friction, Rate of heat transfer and Rate of mass transfer are extensively discussed through Graphs and Tables.

In this paper we apply a new integral transform '' Kamal transform'' to solve ordinary differential equation with non-constants coefficients without resorting to a new frequency domain.

This paper is devoted to obtain a proof of Beal’s conjecture. In this paper we have given proof of Beal’s conjecture for the following two cases. Case 1:- If (x, y, z) = (mn, m, mn+1), then same prime divides A, B and C ;?A,B,C,m ,n?N&m>2. Case 2:- If (x, y, z) = (m, m, m+1), then same prime divides A, B and C,; ?A,B,C,m?N ,m>2.

The objective of the present study is to investigate thermal diffusion and radiation effects on unsteady MHD flow past an exponentially accelerated vertical plate with variable temperature and mass diffusion in the presence of heat source or sink under the influence of applied transverse magnetic field. The fluid considered here is a gray, absorbing/ emitting radiation but a non-scattering medium. At time t>0, the plate is exponentially accelerated with a velocity in its own plane. And at the same time, the plate temperature and concentration levels near the plate raised linearly with time t. The dimensionless governing equations involved in the present analysis are solved using the Laplace transform technique. The velocity, temperature, concentration, Skin-friction, the rate or heat transfer and the rate of mass transfer are studied through graphs and tables in terms of different physical parameters like magnetic field parameter (M), radiation parameter (R), heat source parameter (H), Schmidt parameter (Sc), soret number (So), Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number (Gm) and time (t).

This paper proposes a hybrid genetic algorithm (HGA) with local search technique. For designing the HGA, a local search technique is incorporated in the loop of genetic algorithm (GA), and whether or not the local search technique is used in the GA is automatically determined by the local search scheme. A local search scheme is developed in this paper. which is to use the conditional local search method that can measure the average fitness values obtained from the continuous two generations of the HGA. To prove the efficiency of the algorithm, a basic GA (BGA) with local search technique and a hybrid GA (HGA) with local search technique and are also presented. In numerical example, both the algorithms (BGA, HGA) are tested and analyzed. Finally, the efficiency of the proposed HGA is proved by various measures of performance.

In this paper, a Lotka-Volterra model with time delay is considered. The stability of the equilibrium of the model is investigated and the existence of Hopf bifurcation is proved. Numerical simulations are performed to justify the theoretical results. Finally, main conclusions are included.