International Journal of Trend in Scientific Research and Development

A mathematical equation which involves a function and its derivatives is called a differential equation. We consider a real life situation, from this form a mathematical model, solve that model using some mathematical concepts and take interpretation of solution. It is a well known and popular concept in mathematics because of its massive application in real world problems. Differential equations are one of the most important mathematical tools used in modeling problems in Physics, Biology, Economics, Chemistry, Engineering and medical Sciences. Differential equation can describe many situations viz exponential growth and de cay, the population growth of species, the change in investment return over time. We can solve differential equations using classical as well as numerical methods, In this paper we compare numerical methods of solving initial valued first order ordinary differential equations namely Euler method, Improved Euler method, Runge Kutta method and their accuracy level. We use here Scilab Software to obtain direct solution for these methods. 

by Vibahvari Tukaram Dhokrat "Comparative Analysis of Different Numerical Methods for the Solution of Initial Value Problems in First Order Ordinary Differential Equations" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-5 , August 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd45066.pdf 

Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathematics/45066/comparative-analysis-of-different-numerical-methods-for-the-solution-of-initial-value-problems-in-first-order-ordinary-differential-equations/vibahvari-tukaram-dhokrat

peerreviewedjournals, reviewpapers, callforpaperhealthscience

Right from the beginning of life, the importance of fire cannot be over emphasized as man embraces evolution which is accompanied by new innovations, discoveries and technology. Despite its importance, fire outbreak causes negative effects on human being and the society at large. Poor dissemination of information regarding fire disasters, causes of fire disaster, mitigating methods and risk management has led to an increase in exposure the society to greater risk. Therefore, there is a need to predict the location that a fire disaster is likely to occur using Markov chain. The study revealed that fire outbreaks can occur in any place and at a different magnitude, therefore, everybody has to be on guard. The finding also revealed that places that experienced fire disasters will still experience in the future if not properly managed. We recommended that the government should create awareness through advertisement programs, training centers, seminars and encourage the integration of fire disasters into the school curriculum to ensure sufficient and effective fire disaster mitigation and management. 

by Lauretta Emugha George | Nathaniel A. Ojekudo "Application of Markov Chain Model on Natural Disasters: A Case Study of Fire Outbreak" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-4 , June 2021, 

URL: https://www.ijtsrd.compapers/ijtsrd40054.pdf 

Paper URL: https://www.ijtsrd.commathemetics/applied-mathematics/40054/application-of-markov-chain-model-on-natural-disasters-a-case-study-of-fire-outbreak/lauretta-emugha-george

internationaljournalsinengineering, callforpaperengineering, ugcapprovedengineeringjournal 

by Prof B M Roy "RP-163: Solving a Special Standard Quadratic Congruence Modulo an Even Multiple of an Odd Positive Integer" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-3 , April 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd41116.pdf 

Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathematics/41116/rp163-solving-a-special-standard-quadratic-congruence-modulo-an-even-multiple-of-an-odd-positive-integer/prof-b-m-roy

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In this paper, a special class of standard cubic congruence of composite modulus is studied and formulated the solutions. The discussion is presented here. This cubic congruence has three types of solutions. In first case, it has exactly 3 incongruent solutions in second case, it has nine incongruent solutions and in third case it has twenty seven incongruent solutions. First time a suitable formulation is available for a class of standard cubic congruence. So, formulation is the merit of the paper. 

by Prof B M Roy "RP-165: Solving Some Special Classes of Standard Cubic Congruence of Composite Modulus" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-3 , April 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd39816.pdf 

Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathematics/39816/rp165-solving-some-special-classes-of-standard-cubic-congruence-of-composite-modulus/prof-b-m-roy

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In this paper a new method is proposed for finding an optimal solution for Pentagonal intuitionistic fuzzy transportation problems, in which the cost values are Pentagonal intuitionistic fuzzy numbers. The procedure is illustrated with a numerical example. 

by P. Parimala | P. Kamalaveni "On Intuitionistic Fuzzy Transportation Problem Using Pentagonal Intuitionistic Fuzzy Numbers Solved by Modi Method" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-3 , April 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd41094.pdf 

Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathematics/41094/on-intuitionistic-fuzzy-transportation-problem-using-pentagonal-intuitionistic-fuzzy-numbers-solved-by-modi-method/p-parimala

callforpapermathematics, mathematicsjournal, ugcapprovedjournalsinmathemetics

Combination of theories has not only advanced the research, but also helped in handling the issues of impreciseness in real life problems. The soft rough set has been defined by many authors by combining the theories of soft set and rough set. The concept Soft Covering Based Rough Set be given by J.Zhan et al 2008 , Feng Feng et al 2011 , S.Yuksel et al 2015 by taking full soft set instead of Covering. In this note We first consider the covering soft set and then covering based soft rough set. Again it defines a mapping from the coverings of element of universal set U to the parameters attributes . The new model “Parameterised Soft Rough Set on Covering Approximation Space is conceptualised to capture the issues of vagueness, and impreciseness of information. Also dependency on this new model and some properties be studied. 

by Kedar Chandra Parida | Debadutta Mohanty "Fundamentals of Parameterised Covering Approximation Space" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-3 , April 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd38761.pdf 

Paper URL: https://www.ijtsrd.com/mathemetics/applied-mathematics/38761/fundamentals-of-parameterised-covering-approximation-space/kedar-chandra-parida

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Applied Mathematics have been successfully used in the development of science and technology in 20th –21st century. In Mechanical Engineers, an application of Mathematics gives mechanical engineers convenient access to the essential problem solving tools that they use. In this paper, we will discuss some examples of applications of mathematics in Mechanical Engineering. We conclude that the role of mathematics in engineering remains a vital problem, and find out that mathematics should be a fundamental concern in the design and practice of engineering. 

by Leena M. Bhoyar | Prerna M. Parkhi | Sana Anjum "Application of Mathematics in Mechanical Engineering" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-2 , February 2021, 

URL: https://www.ijtsrd.com/papers/ijtsrd38348.pdf 

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/38348/application-of-mathematics-in-mechanical-engineering/leena-m-bhoyar

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The author here in this paper presented formulation of solutions of a class of standard quadratic congruence of composite modulus modulo an even multiple of an odd prime. The established formula is tested and verified true by solving various numerical examples. The formulation works well and proved time saving. Prof B M Roy "Formulation of a Class of Standard Quadratic Congruence of Composite Modulus modulo Even-Multiple of an Odd Prime"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd38228.pdf

Paper URL : https://www.ijtsrd.com/mathemetics/applied-mathematics/38228/formulation-of-a-class-of-standard-quadratic-congruence-of-composite-modulus-modulo-evenmultiple-of-an-odd-prime/prof-b-m-roy

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This paper we discuss with power mean labeling of graph and Vertex Odd Power Mean Labeling of Graphs. A graph = , is referred as Power Mean graph with , q , if it is feasible to label the vertices with different elements from 1, 2, 3, ..., 1 in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v In this paper we define Vertex Odd Power Mean labeling and investigate the same for some graphs. We define Vertex Odd Power Mean labeling for the graph G V, E with vertices and q edges, if it is feasible to label the vertices with different labelings f from {1, 3, 5, ..., 2 –  1} in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v or f e=uv = f u f v f v f u 1 f u f v and the edge labeling are distinct. The graph which admits the Vertex Odd Power Mean labeling, is called Vertex Odd Power Mean graph. 

by B. Kavitha | Dr. C. Vimala "A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd38116.pdf

Paper URL : https://www.ijtsrd.com/mathemetics/applied-mathematics/38116/a-study-on-power-mean-labeling-of-the-graphs-and-vertex-odd-power-mean-labeling-of-graphs/b-kavitha

callforpaperchemistry, chemistryjournal, openaccessjournalofchemistry 

by Anunita Das "Application of Arithmetic Progression in Equilateral Triangle as Mathematics Brain Teaser" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd33347.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33347/application-of-arithmetic-progression-in-equilateral-triangle-as-mathematics-brain-teaser/anunita-das

ugclistedjournals, indexedjournal, paperpublication

by Prof B M Roy "RP-56: Reformulation of Solutions of a Standard Quadratic Congruence of Composite Modulus- An Eighth Multiple of a Product of Two Odd Primes" 

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, 

URL: https://www.ijtsrd.com/papers/ijtsrd33407.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33407/rp56-reformulation-of-solutions-of-a-standard-quadratic-congruence-of-composite-modulus-an-eighth-multiple-of-a-product-of-two-odd-primes/prof-b-m-roy

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