GPH - International Journal of Mathematics <p style="font-family: Aptos;"><strong><span style="color: #222222;"><span style="font-family: 'Aptos', serif;"><span style="aptos: Arial, serif;"><span style="font-size: medium; font-family: 'Aptos', serif;"><span style="color: #000000;">The</span></span></span><span style="aptos: Arial, serif;"><span style="font-size: medium; font-family: 'Aptos', serif;"><span style="color: #000000;"> GPH-INTERNATIONAL JOURNAL OF MATHEMATICS (E-ISSN 2795-3278 P-ISSN 2795-3274) </span></span></span><span style="helvetica: Arial, serif;"><span style="font-size: medium; font-family: 'Book Antiqua', serif;"><span style="color: #000000;">is an open-access journal that publishes research articles, reviews, case studies, guest-edited thematic issues, and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra, and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics, etc</span></span></span></span></span>.<span style="font-size: medium;"> <a title="Journal Impact Factor" href=""><span style="color: #222222;"><span style="font-family: 'Book Antiqua', serif;"><span style="helvetica: Arial, serif;"><span style="color: #000000;"><span style="font-size: 1.5em;"><span style="text-shadow: #FF0000 0px 0px 2px;">Impact Factor: 1.114</span></span></span></span></span></span></a></span></strong></p> GLOBAL PUBLICATION HOUSE en-US GPH - International Journal of Mathematics <p>Author(s) and co-author(s)&nbsp;jointly&nbsp;and severally represent and warrant that the Article is original with the author(s) and does not infringe any&nbsp;copyright or violate any other right of any third parties, and that the Article has not been published&nbsp;elsewhere.&nbsp;Author(s) agree to the terms that the <strong>GPH Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> Robust Methods of Assessing Fidelity Bank Share Price Movements in Nigeria Stock Market <p><strong>Markov chain is a viable tool for studying the share price formation; since each finite state communicates for proper management decisions in Fidelity bank. Therefore, this paper studied stochastic analysis of Markov chain and PCA in the closing share price data of Fidelity (2016-2022) in Nigeria Stock Exchange. The share prices were transformed into 3-steps transition probability matrix solution to cover this number of years. The future share prices changes were known. The criteria of obtaining four share prices which formed 2x2 matrices were given and analytical solution of principal component were considered for future stock price changes. From the solution matrix of stochastic analysis, showed that Fidelity bank, PLC has the best probability of price increasing in the near future: 10%, best probability of reducing in future by 23% and best probability of no-change in the near future by 22% which is a tool for proper decision making in the day-to-day management of the bank; which shows it is profit making organization and are hopeful for future investment plans both short or long term respectively.</strong></p> Amadi, I.U Howard, C. Azor, P. A. ##submission.copyrightStatement## 2024-05-08 2024-05-08 7 04 01 13 10.5281/zenodo.11151690 The Role of Limit and Continuity in Life <p><strong>In this paper we will see the role of Limit and continuity in our life. How basic concepts affect our life. Achieving something is very close to approaching that thing. It will be same if the path is smooth</strong></p> Kajal ' ##submission.copyrightStatement## 2024-06-05 2024-06-05 7 04 14 15 10.5281/zenodo.11481592 APPROXIMATE SOLUTION TO FRACTIONAL ORDER SOIL TRANSMITTED HELMINTH INFECTION MODEL USING LAPLACE ADOMIAN DECOMPOSITION METHOD <p><em>In this study, we proposed a fractional order compartmental model based on the Caputo derivative to describe the dynamics of soil-transmitted helminth infection. We employed the Laplace Adomian Decomposition Method (LADM) to derive series solutions for each equation within the system of non-linear differential equations that comprise the epidemiological model. Our findings indicate that the infinite series generated by LADM converges to the exact solution of the system. We performed numerical simulations of the fractional order compartmental deterministic model using MATLAB to validate the approximate results. Additionally, comparing the solutions of the fractional order model with the classical model reveals that the fractional order model offers greater flexibility, allowing the system to be adjusted to achieve various desired outcomes in different compartments by varying the fractional order to values such as 0.75, 0.8, 0.85, 0.9, 0.95, and 1.</em></p> Benjamin Idoko Omede Michael Israel Moshood Kolawole Mustapha Jeremiah Amos William Atokolo Festus Abiodun Oguntolu ##submission.copyrightStatement## 2024-06-13 2024-06-13 7 04 16 40 10.5281/zenodo.11630908 A Comparative Study of High Order Modified Second Derivative Simpson’s Related Block Methods for Stiff Systems <p><em>A continuous formulation based on the Modified Second Derivative Simpson’s Block Methods (MSDSBM) with off-grid points are developed and adapted to cope with the integration of stiff systems of Ordinary Differential Equations (ODEs). The LU Decomposition techniques was employed, which yields continuous formulation to derive theStandard Simpson’s Block Method (SSBM), Second Derivative Simpson’s Block Method (SDSBM), and the MSDSBM.This is achieved by combining the Modified Second Derivative Simpson’s Method (MSDSM) with other additional methods (obtained from the same continuous formulation) and applying them as numerical integrators by assembling them into a single block matrix equation. The basic stability properties of the block methods was investigated and found to be zero-stable, consistent, and convergent, and from their regions of absolute stability, they possess regions suitable for the solution of all stiff ordinary differential equations. Further investigation showed that the newly constructed methods are all A-stable and of high order. The performance of the methods was demonstrated on some numerical examples to show accuracy and computational efficiency.</em></p> Aishatu Imam Bello Yohanna Sani Awari ##submission.copyrightStatement## 2024-06-28 2024-06-28 7 04 41 60 10.5281/zenodo.12582774