Pankaj Kumar Srivastava

Computational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic Spline

In the present paper we describe a survey on recent spline techniques for solving boundary value problems in ordinary differential equations. Here we discuss the summary of the articles between 2000 and 2007 based on cubic, quintic, and sextic splines. Comparisons of methods with our own critical comments as remarks have been included.

A Note on Hypertension Classification Scheme and Soft Computing Decision Making System

Nowadays young professionals are a soft target of hypertension due to the increased work pressure and poor tolerance. Many people have high blood pressure for years without knowing it. Most of the time, there are no symptoms, but when this condition goes untreated it damages arteries and vital organs throughout the body and that is why it is also termed as the silent killer. Complications arising from hypertension could lead to stroke and heart failure. Soft computing approach provides a sharper conclusion from vague, ambiguous, and imprecise data (generally found in medical field) using linguistic variables. In this study, a soft computing diagnostic support system for the risk assessment of hypertension is proposed.

Quintic nonpolynomial spline method for the solution of a second-order boundary-value problem with engineering applications

Abstract Nonpolynomial quintic spline functions are used to develop a numerical algorithm for computing an approximation to the solution of a system of second order boundary value problems associated with heat transfer. We show that the approximate solutions obtained by our algorithm are better than those produced by other spline and domain decomposition methods. A comparison of our algorithm with nonpolynomial quadratic spline method is discussed with the help of two numerical examples.

Computational techniques for solving differential equations by quadratic, quartic and octic spline

The purpose of this paper is to survey the various spline techniques used to solve the differential equations. We have focused on three main techniques namely quadratic, quartic and octic spline techniques used to solve ordinary differential equations of different orders. Here, mostly, we have considered the research papers within last 5years, so as to get the knowledge of present scenario. Comparisons of methods with own critical comments as remarks have been included.

Spectrum of Soft Computing Risk Assessment Scheme for Hypertension

The present paper deals with risk assessment scheme for Hypertension. It is believed that hypertension comes in to picture due to complex interaction of genetic, environmental and demographical features and nowadays it is a leading health problem in information technology world. In order to manage hypertension risk factor, we have made an attempt to design user friendly, intelligent and effective diagnostic system by making use of soft computing tools.

Soft Computing Diagnostic System for Diabetes

In the present paper, we propose a soft computing diagnostic system for detecting different phases of diabetes. The proposed system is user friendly and will guide patients to evolve proper strategies so that they could maintain their blood sugar level by adopting suitable life style. The proposed system not only acts as a referral system in between patient and medical expert but also sharpen the diagnostic process of medical experts. A number of cases on the basis of available clinical datas have been investigated to check the validity of system.

Fuzzy environmental model for evaluating water quality of sangam zone during Maha Kumbh 2013

It is a well-known fact that water is the basic need of human beings. The industrial wastes nearby rivers and several anthropogenic activities are responsible for deteriorating water quality of rivers in India. The present research paper deals with the design and development of soft computing system to assess the water quality of rivers Ganga and Yamuna during the Maha Kumbh 2013 in and around Sangam Zone, Allahabad, by making use of physicochemical parameters relationship.

Trapezoidal fuzzy model to optimize transportation problem

The main aim of this paper is to develop an approach based on trapezoidal fuzzy numbers to optimize transportation problem in fuzzy environment. The present algorithm has representation of availability, demand and transportation cost as trapezoidal fuzzy numbers. This algorithm is found quicker in terms of runtime as comparison to fuzzy VAM discussed in [Kaur A., Kumar A., A new method for solving fuzzy transportation problem using ranking function, Appl. Math. Model. 35:5652–5661, 2011; Ismail Mohideen S., Senthil Kumar P., A comparative study on transportation problem in fuzzy environment, Int. J. Math. Res. 2:151–158, 2010]. On the other hand this technique gives much better results than some classical methods like north-west corner and least cost method. Another benefit of this algorithm is that for certain transportation problems it directly gives optimal solution. It is one of the simplest methods to apply and perceive. Practical usefulness of the new method over other existing methods is demonstrated with two numerical examples.

Algorithms for solving fuzzy transportation problem

The objective of this paper is a wide survey of recent optimisation techniques in the field of fuzzy transportation problems. The authors have reviewed papers on various techniques to solve fuzzy transportation problems. We have considered the algorithms discussed in research papers within the last decade so as to know the present scenario. A comparative study of methods with own critical comments as remarks has been included.

CERTAIN RELATIONS FOR MOCK THETA FUNCTIONS OF ORDER EIGHT

The aim of the present paper is to establish certain relations for partial mock theta functions and mock theta functions of order eight with other partial mock theta functions and mock theta functions of order two, six, eight and ten respectively.