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This paper focuses on the theoretical analysis of blood flow in the presence of thermal radiation and chemical reaction under the influence of time dependent magnetic field intensity. Unsteady non linear partial differential equations of blood flow consider time dependent stretching velocity, the energy equation also accounts time dependent temperature of vessel wall and the concentration equation includes the time dependent blood concentration. The governing non linear partial differential equations of motion, energy and concentration are converted into ordinary differential equations using similarity transformations solved numerically by applying ode45. The effect of physical parameters, viz., the permeability parameter, unsteadiness parameter, Prandtl number, Hartmann number, thermal radiation parameter, chemical reaction parameter and Schmidt number on flow variables, viz., velocity of blood flow in vessel, temperature and concentration of blood, has been analyzed and discussed graphically. From the simulation study the following important results are obtained: velocity of blood flow increases with the increment of both permeability and unsteadiness parameter. The temperature of blood increases at the vessel wall as the Prandtl number and Hartmann number increase. Concentration of blood decreases as time dependent chemical reaction parameter and Schmidt number increases.

We apply the theory of Lie point symmetries for the study of a family of partial differential equations which are integrable by the hyperbolic reductions method and are reduced to members of the Painlev\'{e} transcendents. The main results of this study is that from the application of the similarity transformations provided by the Lie point symmetries all the members of the family of the partial differential equations are reduced to second-order differential equations which are maximal symmetric and can be linearized., Comment: 15 pages, no figues

Bu çalışmada R2 de vektörlerden oluşan iki sistemin, yine R2 de tüm benzerlik dönüşümlerinin grubu olan G=S(2) grubuna göre denklik şartlarının; bu vektörlerin G-invaryant rasyonel fonksiyonlar cismi olan R(x1 , x2 , … , xk) S(2) cisminin üreteçleri cinsinden ifade edilmesi çalışılmıştır. Böylece R 2 de verilen düzlemsel Bezier eğrilerinin S(2) grubuna göre denklik şartları da ifade edilmiştir., In this paper it is studied that the equivalence conditions of two systems consisted of vectors according to the group G=S(2) of similarity transformations in R2 in terms of the generator invariants of the field G-invariant rational functions R(x1 , x2 , … , xk) S(2) . So the equivalence conditions of two splanar Bezier curves are expressed.

Boundary layer equations are derived for the first time for the Powel-Eyring fluid model, a non-Newtonian model proposed for pseudoplastic behavior. Using a scaling symmetry of the equations, partial differential system is transferred to an ordinary differential system. Resulting equations are numerically solved using a finite difference algorithm. Effects of non-Newtonian parameters on the solutions are discussed.

Given a set A={a"1,...,a"n} of n image points and a set B={b"1,...,b"n} of n model points, the problem is to find a transformation matching (a one-to-one mapping) each point [email protected]?A to some point [email protected]?B such that the length of the longest edge in the matching is minimised (so-called bottleneck distance). The geometric transformations we allow are translation, rotation, reflexion and scaling. In this paper, we give ([email protected])-approximation algorithms for the case when the points are given in R^2, two of which run in O(n^3^.^[email protected]^4logn) and O(n^2^.^[email protected]^4lognlogdiam(B)d"o"p"t) time, respectively, where diam(B) is the diameter of B and d"o"p"t is the bottleneck distance in an optimal matching.

In the present study, the effects of partial slip on steady boundary layer stagnation point flow of an electrically conducting micropolar fluid impinging normally towards a shrinking sheet in the presence of a uniform transverse magnetic field is investigated. A similarity transformation technique is adopted to obtain the self similar ordinary differential equations and then solved numerically using symbolic software MATHEMATICA 7.0. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed through graphs and tables. Both cases of assisting and opposing flows are considered. The physical aspects of the problem are highlighted and discussed.

Many brain morphometry studies have been performed in order to characterize the brain atrophy pattern of Alzheimer's disease (AD). The earliest studies focused on the volume of particular brain structures, such as hippocampus and entorhinal cortex. Even though volumetry is a powerful, robust and intuitive technique that has yielded a wealth of findings, more complex shape descriptors have been used to perform statistical shape analysis of particular brain structures. However, in shape analysis studies of brain structures the information of the relative pose between neighbor structures is typically disregarded. This work presents a framework to analyse pose information including the following approaches: similarity transformations with either pseudo-Riemannian or left-invariant Riemannian metric, and centered transformations with a bi-invariant Riemannian metric. As an illustration, an analysis of covariance (ANCOVA) and a discrimination analysis were performed on Alzheimer's Disease Neuroimaging Initiative (ADNI) data.

In the present work we consider the steady flow of a fluid-particle suspension caused by stretching a wall. The equations of motion are reduced to non-linear ordinary differential equations by similarity transformations and solved numerically using least squares finite element method. The flow pattern depends on two parameters, namely, particle loading k and fluid particle interaction parameter β. It is observed that the magnitude of the transverse velocity of both the fluid and particle phase decrease with an increase in β or k . The particle density is maximum at the surface of the plate. The shearing stress increases with an increase in β or k .

In this paper, a new analytical approach based on homotopy perturbation Sumudu transform method (HPSTM) to a two-dimensional viscous flow with a shrinking sheet is presented. The series solution is obtained by HPSTM coupled with Padé approximants to handle the condition at infinity. The HPSTM is a combined form of the Sumudu transform method, homotopy perturbation method and He’s polynomials. This scheme finds the solution without any discretization or restrictive assumptions and avoids round-off errors. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. doi:10.14456/WJST.2014.39

It has been shown that approximate extended Krylov subspaces can be computed, under certain assumptions, without any explicit inversion or system solves. Instead, the vectors spanning the extended Krylov space are retrieved in an implicit way, via unitary similarity transformations, from an enlarged Krylov subspace. In this paper this approach is generalized to rational Krylov subspaces, which aside from poles at infinity and zero, also contain finite non-zero poles. Furthermore, the algorithms are generalized to deal with block rational Krylov subspaces and techniques to exploit the symmetry when working with Hermitian matrices are also presented. For each variant of the algorithm numerical experiments illustrate the power of the new approach. The experiments involve matrix functions, Ritz-value computations, and the solutions of matrix equations. ispartof: Electronic Transactions on Numerical Analysis vol:43 pages:100-124 status: published