Archive:: American Journal of Applied Mathematics:: Science Publishing Group

Volume 11, Issue 6, December 2023

Research Article
New Theorems and Formulas to Solve Fourth Degree Polynomial Equation in General Forms by Calculating the Four Roots Nearly Simultaneously

Yassine Larbaoui

Issue: Volume 11, Issue 6, December 2023

Pages: 95-105

Received: 6 October 2023

Accepted: 2 November 2023

Published: 17 November 2023

DOI: 10.11648/j.ajam.20231106.11

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Abstract: This paper presents new formulary solutions for fourth degree polynomial equations in general forms, where we present four solutions for any fourth-degree equation with real coefficients, and thereby having the possibility to calculate the four roots of any quartic equation nearly simultaneously. In this paper, the used logic to determine the solut... Show More

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Research Article
A Comparative Study of Numerical Methods for Solving Initial Value Problems (IVP) of Ordinary Differential Equations (ODE)

Md. Monirul Islam Sumon^*, Md. Nurulhoque

Issue: Volume 11, Issue 6, December 2023

Pages: 106-118

Received: 24 August 2023

Accepted: 8 October 2023

Published: 21 November 2023

DOI: 10.11648/j.ajam.20231106.12

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Abstract: Numerical methods for solving Ordinary Differential Equations differ in accuracy, performance, and applicability. This paper presents a comparative study of numerical methods, mainly Euler’s method, the Runge-Kutta method of order 4^th& 6^thand the Adams-Bashforth-Moulton method for solving initial value problems in ordinary differential equations.... Show More

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Research Article
A Mathematical Model of the Transmission of COVID-19 in Ghana

Ernest Danso-Addo, Samuella Boadi^*, John Cobbinah

Issue: Volume 11, Issue 6, December 2023

Pages: 119-129

Received: 21 September 2023

Accepted: 12 October 2023

Published: 8 December 2023

DOI: 10.11648/j.ajam.20231106.13

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Abstract: The COVID-19 pandemic posed a serious threat to health and the global economy of the affected nations. Despite several measures to mitigate the transmission of the disease, there is a rise in the number of infections and death remain tremendous worldwide. This study used a deterministic model based on Susceptible-Latent-Infected-Hospitalized-Vaccin... Show More

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Research Article
A Finite Element Method for Singularly Perturbed Convection Reaction Diffusion Problems on Shishkin Mesh

Charuka Dilhara Wickramasinghe

Issue: Volume 11, Issue 6, December 2023

Pages: 130-144

Received: 3 July 2023

Accepted: 24 July 2023

Published: 23 December 2023

DOI: 10.11648/j.ajam.20231106.14

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Abstract: This paper introduces an approach to decoupling singularly perturbed boundary value problems for fourth-order ordinary differential equations that feature a small positive parameter ε multiplying the highest derivative. These differential equations have various real-world applications in engineering and physics. For example, these equations can be ... Show More

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