International Journal of Trend in Scientific Research and Development

In this paper a detailed study is presented on magnetohydrodynamic fluid flows with their basic governing equations. Basic concept of magnetohydrodynamic is discussed in detail. The results of various problems done by researchers are presented and addressed properly. The various applications of magnetohydrodynamic fluid flows have been presented. 

by Dr. Vishal Saxena ""Study of Magnetohydrodynamic Fluid Flows and Their Applications"" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2 , February 2020, 

The stability problem is a fundamental issue in the design of any distributed systems like local area networks, multiprocessor systems, distribution computation and multidimensional queuing systems. In Mathematics stability theory addresses the stability solutions of differential, integral and other equations, and trajectories of dynamical systems under small perturbations of initial conditions. Differential equations describe many mathematical models of a great interest in Economics, Control theory, Engineering, Biology, Physics and to many areas of interest. In this study the recent work of Jinghao Huang, Qusuay. H. Alqifiary, and Yongjin Li in establishing the super stability of differential equation of second order with boundary condition was extended to establish the super stability of differential equation third order with boundary condition. 

Firstly, basic concepts of graph and vertex colorings are introduced. Then, some interesting graphs with vertex colorings are presented. A vertex coloring of graph G is an assignment of colors to the vertices of G. And then by using proper vertex coloring, some interesting graphs are described. By using some applications of vertex colorings, two problems is presented interestingly. The vertex coloring is the starting point of graph coloring. The chromatic number for some interesting graphs and some results are studied. 

Wavelets are mathematical functions. The wavelet transform is a tool that cuts up data, functions or operators into different frequency components and then studies each component with a resolution matched to its scale. It is needed, because analyzing discontinuities and sharp spikes of the signal and applications as image compression, human vision, radar, and earthquake prediction. 

by Wai Mar Lwin | Thinn Aung | Khaing Khaing Wai ""Applications of Wavelet Transform"" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, 

Mathematics or particularly applied mathematics is widely used in every engineering fields. In this paper, several examples of applications of mathematics in civil, mechanical, electrical and architectural engineering are discussed. The role of mathematics in engineering education is one of these opportunities. There has been much recent debate on what mathematical skills are needed for the engineers of tomorrow, and how and when these might best be acquired. We conclude that the value of mathematics in engineering remains a central problem, and argue that mathematics should be a fundamental concern in the design and practice of engineering. 

Markov chain is one of the techniques used in operations research with possibilities view that managers in organizational decision making industrial and commercial use it. Markov processes arise in probability and statistics in one of two ways. Markov process is a tool to predict that it can make logical and accurate decisions about various aspects of management in the future. 

by Wai Mar Lwin | Thinn Aung | Khaing Khaing Wai ""Applications on Markov Chain"" 

The theory of fixed point is one of the most important and powerful tools of the modern mathematics not only it is used on a daily bases in pure and applied mathematics but it is also solving a bridge between analysis and topology and provide a very fruitful are of interaction between the two. The theory of fixed points belongs to topology, a part of mathematics created at the end of the nineteenth century. The famous French mathematician H. Poincare 1854 1912 was the founder of the fixed point approach. He had deep insight into its future importance for problems of mathematical analysis and celestial mechanics and took an active part in its development.