[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 …

A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach

TK Akinfe, AC Loyinmi - Heliyon, 2021 - cell.com
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

Analytical solutions of the Black–Scholes pricing model for European option valuation via a projected differential transformation method

SO Edeki, OO Ugbebor, EA Owoloko - Entropy, 2015 - mdpi.com
In this paper, a proposed computational method referred to as Projected Differential
Transformation Method (PDTM) resulting from the modification of the classical Differential …

Investigation of heat transfer from convective and radiative stretching/shrinking rectangular fins

ZU Din, A Ali, S Ullah, G Zaman… - Mathematical …, 2022 - Wiley Online Library
We study the efficiency of shrinking/stretching radiative fins to improve heat transfer rate. To
evaluate the competence of suggested fins, the influence of shrinking/stretching …

[HTML][HTML] The implementation of an improved differential transform scheme on the Schrodinger equation governing wave-particle duality in quantum physics and optics

KT Akinfe, AC Loyinmi - Results in physics, 2022 - Elsevier
Seeking solutions to nonlinear differential equations cannot be overemphasized as this
illuminates clarity in the dynamical behavior of the described model, and thus, enables …

[PDF][PDF] Analytical solution of the time-fractional order Black-Scholes model for stock option valuation on no dividend yield basis

SO Edeki, OO Ugbebor… - … International Journal of …, 2017 - researchgate.net
In this work, we obtain analytical solutions of the time-fractional Black-Scholes equation for
European call option via a proposed relatively new semi-analytic technique hereby referred …

[PDF][PDF] Analytical solution for different profiles of fin with temperature-dependent thermal conductivity

A Moradi, H Ahmadikia - Mathematical Problems in Engineering, 2010 - academia.edu
Three different profiles of the straight fin that has a temperature-dependent thermal
conductivity are investigated by differential transformation method DTM and compared with …

[PDF][PDF] Analytic and numerical solutions of time-fractional linear Schrödinger equation

SO Edeki, GO Akinlabi, SA Adeosun - Communications in Mathematics …, 2016 - core.ac.uk
Fractional Schrödinger equation is a basic equation in fractional quantum mechanics. In this
paper, we consider both analytic and numerical solutions of time-fractional linear …

[HTML][HTML] Analytical solution for the Fokker–Planck equation by differential transform method

S Hesam, AR Nazemi, A Haghbin - Scientia Iranica, 2012 - Elsevier
In this paper, a relatively recent method, namely the Differential Transform Method (DTM), is
applied to devise a simple scheme for solving the Fokker–Planck equation and some similar …

[PDF][PDF] Differential transform method: A comprehensive review and analysis

HH Mehne - Iranian Journal of Numerical Analysis and Optimization, 2022 - ijnao.um.ac.ir
The complexity of solving differential equations in real-world applications motivates
researchers to extend numerical methods. Among different numerical and semi-analytical …