[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 …

Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line

MA Chowdhury, MM Miah, MA Iqbal… - The European Physical …, 2023 - Springer
In this study, the double (G′/G, 1/G)-expansion method is utilized for illustrating the
improved explicit integral solutions for the two of nonlinear evolution equations. To expose …

A new implementation of a novel analytical method for finding the analytical solutions of the (2+ 1)-dimensional KP-BBM equation

R Mia, MM Miah, MS Osman - Heliyon, 2023 - cell.com
In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

[HTML][HTML] Fractional view analysis of the impact of vaccination on the dynamics of a viral infection

R Jan, E Hinçal, K Hosseini, NNA Razak… - Alexandria Engineering …, 2024 - Elsevier
Viral infections pose significant threats to public health globally. Understanding the
behavior, transmission, and epidemiology of viruses is essential for developing strategies to …

[HTML][HTML] Analysis of fractional Euler-Bernoulli bending beams using Green's function method

A Khabiri, A Asgari, R Taghipour… - Alexandria Engineering …, 2024 - Elsevier
This paper deals with the effect of fractional order on the fractional Euler-Bernoulli beams
model. This model is based on the elastic curve that can be approximated using tangent …

[PDF][PDF] Fractional order system of integro-differential equations: theoretical and numerical simulations using Appell-type Changhee polynomials

M Adel - J. Math. Comput. Sci., 2024 - researchgate.net
We examine the behavior of the solutions for a fractional-order integro-differential equation
(FIDE) system using an efficient simulation presented in this paper. The FIDEs are treated by …