[HTML][HTML] A new adaptive nonlinear numerical method for singular and stiff differential problems

S Qureshi, MA Akanbi, AA Shaikh, AS Wusu… - Alexandria Engineering …, 2023 - Elsevier
In this work, a new adaptive numerical method is proposed for solving nonlinear, singular,
and stiff initial value problems often encountered in real life. Starting with a fixed step size …

Fractional modeling for improving scholastic performance of students with optimal control

A Yusuf, S Qureshi, UT Mustapha, SS Musa… - International Journal of …, 2022 - Springer
Students' day-to-day activities can be influenced by internal and external factors that can
cause academic turbulence. These factors vehemently impart to the setback of bad …

Fractional numerical dynamics for the logistic population growth model under Conformable Caputo: a case study with real observations

S Qureshi, A Yusuf, S Aziz - Physica Scripta, 2021 - iopscience.iop.org
Abstract Models of population dynamics are substantially non-Markovian in nature and
exhibit behavior for memory effects. This research study investigates the logistic growth …

Deterministic modeling of dysentery diarrhea epidemic under fractional Caputo differential operator via real statistical analysis

HW Berhe, S Qureshi, AA Shaikh - Chaos, Solitons & Fractals, 2020 - Elsevier
Non-Markovian characteristics, possessing memory effects and hereditary properties, play a
vital role when it comes to the transmission dynamics of a disease or an epidemic within …

[HTML][HTML] Numerical solution of delay differential equation using two-derivative Runge-Kutta type method with Newton interpolation

N Senu, KC Lee, A Ahmadian, SNI Ibrahim - Alexandria Engineering …, 2022 - Elsevier
Numerical approach of two-derivative Runge-Kutta type method with three-stage fifth-order
(TDRKT3 (5)) is developed and proposed for solving a special type of third-order delay …

A new family of acceptable nonlinear methods with fixed and variable stepsize approach

S Qureshi, A Soomro, E Hınçal - … and Mathematical Methods, 2021 - Wiley Online Library
Solving stiff, singular, and singularly perturbed initial value problems (IVPs) has always
been challenging for researchers working in different fields of science and engineering. In …

An examination of a second order numerical method for solving initial value problems

SE Fadugba, SN Ogunyebi… - Journal of the Nigerian …, 2020 - journal.nsps.org.ng
This paper presents an examination of a Second Order Convergence Numerical Method
(SOCNM) for solving Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs) …

A New Nonlinear Hybrid Technique with fixed and adaptive step-size approaches

A Soomro, S Qureshı, AA Shaıkh - Sigma Journal of Engineering …, 2022 - dergipark.org.tr
Linear and nonlinear numerical techniques are the most popular techniques for finding
approximate solutions to initial value problems in numerous scientific fields. Due to the …

[PDF][PDF] Analysis of the properties of a third order convergence numerical method derived via transcendental function of exponential form

SE Fadugba, JO Idowu - International Journal of Applied …, 2019 - academia.edu
This paper proposes a new numerical method for the solution of the Initial Value Problems
(IVPs) of first order ordinary differential equations. The new scheme has been derived via …

Development and analysis of a seir model for Covid-19 epidemic with vaccination and nonsingular kernel

RT Alqahtani, A Yusuf - Fractals, 2022 - World Scientific
We propose a new model to investigate the recent coronavirus (COVID-19) epidemic. The
fundamental reproductive number is determined using the next-generation matrix, and the …