JAEM 2017, Vol 7, No 2JAEM 2017, Vol 7, No 2 koleksiyonunu içerir.https://hdl.handle.net/11729/24012024-03-29T07:34:08Z2024-03-29T07:34:08ZDirichlet series and approximate analytical method for the solution of mhd boundary layer flow of casson fluid over a stretching/shrinking sheetAwati, Vishwanath B.https://hdl.handle.net/11729/26372021-07-01T12:07:27Z2017-01-25T00:00:00ZDirichlet series and approximate analytical method for the solution of mhd boundary layer flow of casson fluid over a stretching/shrinking sheet
Awati, Vishwanath B.
The paper presents analytical and semi-numerical solution for magnetohydrodynamic (MHD) boundary layer flow of Casson fluid over a exponentially permeable shrinking sheet. The governing partial differential equations of momentum equations are reduced to ordinary differential equations by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel mathematical tools for their analysis. We use fast converging Dirichlet series and approximate analytical solution by the Method of stretching of variables for the solution of the nonlinear differential equation. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and also they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes.
2017-01-25T00:00:00ZNonholonomic frames for finsler space with deformed matsumoto metricTripathi, Brijesh KumarChaubey, Vinit Kumarhttps://hdl.handle.net/11729/26362021-07-01T12:10:32Z2017-01-01T00:00:00ZNonholonomic frames for finsler space with deformed matsumoto metric
Tripathi, Brijesh Kumar; Chaubey, Vinit Kumar
The purpose of present paper is to find the nonholonomic frames for the deformed Matsumoto type metric which are given in the forms I. (α2/α−β)α =α3/α−β II. (α2/α−β)β =α2β/α−β where α2 = aij (x)yi yj and β = bi(x)yi. The first metric of the above deformation is obtained by the product of Matsumoto and Riemannian metric and second one is the product of Matsumoto and 1-form metric.
2017-01-01T00:00:00ZSome results on total chromatic number of a graphVaidya, Samir K.Isaac, Rakhimol V.https://hdl.handle.net/11729/26352021-07-01T12:15:24Z2017-08-24T00:00:00ZSome results on total chromatic number of a graph
Vaidya, Samir K.; Isaac, Rakhimol V.
A total coloring of a graph is a proper coloring in which no two adjacent or incident graph elements receive the same color. The total chromatic number of a graph is the smallest positive integer for which the graph admits a total coloring. In this paper, we derive some results on total chromatic number of a graph.
2017-08-24T00:00:00ZPosition vector of a developable h-slant ruled surfaceKaya, OnurÖnder, Mehmethttps://hdl.handle.net/11729/26342021-07-01T12:18:16Z2017-01-01T00:00:00ZPosition vector of a developable h-slant ruled surface
Kaya, Onur; Önder, Mehmet
In physics and geometry, the determination of position vector of a moving point is an important problem, since the trajectory of that point is a curve or a surface which are important in physics, geometry, and applied sciences. By considering this importance, in this paper, we give a new characterization for a special ruled surface called h-slant ruled surface in the Euclidean 3-space E3. Later, using the obtained result, we study the position vector of a developable h-slant ruled surface in E3. We obtain the natural representations for the striction curve and ruling of an h-slant ruled surface. Then, we give general parameterization of a developable h-slant ruled surface. Finally, we introduce some examples of obtained results.
2017-01-01T00:00:00Z