[HTML][HTML] An improved differential transform scheme implementation on the generalized Allen–Cahn​ equation governing oil pollution dynamics in oceanography

TK Akinfe, AC Loyinmi - Partial Differential Equations in Applied …, 2022 - Elsevier
Studies in computational mathematics have taken a fantastic aesthetics in interdisciplinary
fields as researchers in this area have resiliently adopted constructive methods, schemes …

[HTML][HTML] Numerical solution of Advection–Diffusion equation using Graph theoretic polynomial collocation method

S Kumbinarasaiah, AN Nirmala - Results in Control and Optimization, 2023 - Elsevier
Water is one of the main constituents on earth for a living. The Advection Diffusion Equation
(ADE) serves as an essential water standard model in environmental engineering since …

[PDF][PDF] Solutions of differential equations using linearly independent Hosoya polynomials of trees

K Srinivasa, HS Ramane, RA Mundewadi… - International Journal of …, 2024 - sciendo.com
We present an algorithm for the result of differential equations (DEs) by using linearly
independent Hosoya polynomials of trees. With the newly adopted strategy, the desired …

[HTML][HTML] Asymptotic behavior of tuberculosis between smokers and non-smokers

T Faniran, A Ali, MO Adewole, B Adebo… - … Differential Equations in …, 2022 - Elsevier
Tuberculosis (TB) is an ailment caused by Mycobacterium tuberculosis. So, by the
continuous spread of TB, this study presents a new mathematical model of TB that …

Fractional-order clique functions to solve left-sided Bessel fractional integro-differential equations

P Rahimkhani, Y Ordokhani, M Razzaghi - Chaos, Solitons & Fractals, 2025 - Elsevier
In this study, we consider a new class of nonlinear integro-differential equations with the
Bessel fractional integral-derivative. For solving the considered equations, fractional-order …

A new approaching method for linear neutral delay differential equations by using Clique polynomials

Ş YÜZBAŞI, ME Tamar - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
This article presents an efficient method for obtaining approximations for the solutions of
linear neutral delay differential equations. This numerical matrix method, based on …

[HTML][HTML] Numerical investigation on the thermal-nanofluidic flow induced transverse and longitudinal vibrations of single and multi-walled branched nanotubes resting …

AA Yinusa, MG Sobamowo, AO Adelaja… - … Differential Equations in …, 2024 - Elsevier
Carbon nanotubes (CNTs) have attracted great attention due to their tremendous
mechanical, thermal, structural and electrical properties leading to many promising …

[HTML][HTML] Mechanics of nonlinear internal flow induced vibration and stability analysis of a pre-tensioned single walled carbon nanotube using classical differential …

AA Yinusa, MG Sobamowo - Forces in Mechanics, 2022 - Elsevier
This paper explores nonlinear internal flow induced vibration and stability of a pre-tensioned
nanotube (SWCNT) that rests on elastic foundations. During the process of modeling, the …

[PDF][PDF] A NOVEL APPROACH FOR THE NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS USING CLIQUE POLYNOMIALS OF GRAPH

S Kumbinarasaiah, H Rezazadeh… - Journal of Applied …, 2025 - jaac-online.com
This study proposed an efficient numerical technique for nonlinear elliptic partial differential
equations (EPDEs) using the functional matrix generated by Clique polynomials of …

[PDF][PDF] Partial Differential Equations in Applied Mathematics

TK Akinfe, AC Loyinmi - researchgate.net
Inspired by the extensive applicability of solitons in nonlinear optics, advanced
telecommunication industry, trans-continental, and trans-oceanic systems, coupled with the …