Applied Mathematics

We have to make comparison among differential transformation method (DTM) and Homotopy Perturbation Method (HPM). We provide two examples in order to compare our results and find exact solutions also. The numerical examples show that the DTM is a good method compared to the HPM since it is effective, uses less time in computation, easy to implement and achieve high accuracy. From the numerical results, DTM is suitable to apply for nonlinear problems. Numerical results show that DTM is a promising and powerful tool for solving the higher-order boundary value problems as compared to HPM.

The present paper is an attempt to illustrate the direct formula for calculating total number of similar rectangles present, when any rectangle is sub divided into congruent rectangles. Subdivision of any rectangle into congruent rectangles means sides of the rectangle divided into n equal parts and points are joined in a sense that it forms number of congruent rectangles.

This article is a comprehensive study to find out the maximum age group victims of Endosulfan people in South Indian State of Kerala (Palakkad and Kasargod) using CETD matrix. In the year 2003 W.B.Vasantha used to study migrant labours who were affected by HIV/AIDS.For this paper the data have been collected from Palakkad and Kasargod Dt. Of Kerala covering 101 victims. A detailed report on the harmful effect faced by the people with the usage of the pesticide in India was telecasted in Star T.V. dated June 24, 2012 “Satyameva Jayathe” anchored by filim star Amir Khan.

In this paper we will illustrate a new type of graph which its vertices are different and discuss each type of this graph and illustrate different example for each type. The representation of this graph by matrices will be obtained. Also we will discuss the folding of this new type.

Finding Shortest path in a graph has been the area for many researchers. Shortest path is one of the fundamental and most widely used concepts in networks. Here, we discuss the Shortest Path Length (SPL) from a specified vertex to all other vertices in a network. For illustration, a real life example has been considered from Chennai to kanyakumari roadways transport network.

Evaluation of student’s performance is one of the most important responsibilities of every educational institute. The marks obtained by the students in examination should not be the only criteria to decide academic excellence. In this paper, aims to discuss the study of the student’s performance by including the Intelligence quotient (IQ). Here the fuzzy matrices are used to find the level of performance of the students. The fuzzy logic is used for finding the academically excellent student.

The objective of the present study is to investigate thermal diffusion and radiation effects on unsteady MHD flow past a linearly accelerated vertical plate with variable temperature and also with variable mass diffusion in 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 linearly accelerated with a velocity in its own plane. And at the same time, 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 closed analytical method. The velocity, temperature, concentration, Skin-friction, Nusselt number and Sherwood number are discussed through graphs in terms of different physical parameters like magnetic field parameter (M), permeability parameter (K), radiation parameter (R), Schmidt parameter (Sc), Soret number (So), Heat source parameter (H), Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number (Gm) and time (t).

Life Insurance is important for everyone to protect family incase of their demise the insured money will save their family. Our objective of this paper to find out the peak age of people interested to take insurance policy and when they mostly use the benefits in their policy period. It has been classified into six benefitst. To study this problem, they divided and defined four types of matrices. Now we use this model to study of the people interested to take insurance policy and when they mostly use the benefits in their policy period.

In this paper we introduce the new type of transportation problem called South east corner rule . We solve the transportation problem using OR approach in analysis ,design phases and we use the java programming language to model the problem . The results obtain from both solutions are compared to make analysis & prove the object oriented model correctness . We proved that the both results are identical & have the same results when solving the problem using the south east corner rule .

An algorithm for computing a discrete generalized Hankel-Clifford transform is presented in this paper. In the solution of certain types of differential equations this algorithm can provide a major improvement in speed and accuracy over previously described methods. An application to a particular form of the transport equation relevant to a class of problems in electron scattering is given.