Numerical study of variable order model arising in chemical processes using operational matrix and collocation method
This article introduces the fractional variable order (VO) Gray-Scott model using the notion of
VO fractional derivative in the Caputo sense. An efficient numerical method has been …
VO fractional derivative in the Caputo sense. An efficient numerical method has been …
[HTML][HTML] Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations
RO Awonusika - Partial Differential Equations in Applied Mathematics, 2025 - Elsevier
This article presents a power series technique for obtaining approximate solutions of the
fractional-order version of a generalised Newell-Whitehead-Segel initial value problem, with …
fractional-order version of a generalised Newell-Whitehead-Segel initial value problem, with …
Existence, uniqueness and Ulam–Hyers stability result for variable order fractional predator-prey system and it's numerical solution
This study presents an approximate numerical technique for solving time fractional
advection-diffusion-reaction predator-prey equations with variable order (VO), where the …
advection-diffusion-reaction predator-prey equations with variable order (VO), where the …
A numerical solution for unsteady anisotropic diffusion reaction equation of time–space variable coefficients
MI Azis - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
Two‐dimensional transient problems for anisotropic functionally graded materials governed
by a diffusion reaction equation of time–space dependent coefficients are considered. Using …
by a diffusion reaction equation of time–space dependent coefficients are considered. Using …
On the construction of various soliton solutions of two space-time fractional nonlinear models
KU Tariq, JG Liu - Journal of Nonlinear, Complex and Data Science, 2024 - degruyter.com
In this article, we investigate a couple of nonlinear fractional models of eminent interests
subsequently the conformable derivative sense is used to designate the fractional order …
subsequently the conformable derivative sense is used to designate the fractional order …
Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials
The main goal of the present study is to introduce an operational collocation scheme based
on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems …
on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems …
[PDF][PDF] Partial Differential Equations in Applied Mathematics
RO Awonusika, OB Onuoha - researchgate.net
ABSTRACT The standard Lane–Emden equations model several physical phenomena such
as isotropic continuous media, thermal behaviour of a spherical cloud of gas, and isothermal …
as isotropic continuous media, thermal behaviour of a spherical cloud of gas, and isothermal …