Mitigation of numerical issues appearing in transient analyses when applying fractional derivative approximations

M Sowa - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
Due to the potential decrease of the computation time for problems with fractional order
derivatives, and due to the extension of the range of applicable solvers for a given problem …

A new application of fractional derivatives for predicting human glioblastoma multiforme tumor growth

M Hosseininia, O Bavi, MH Heydari… - Engineering Analysis with …, 2024 - Elsevier
Glioblastoma is the most common and deadly primary brain tumor in adults. To optimize the
treatment strategies, it is essential to understand the tumor growth dynamics in different …

2D scale-3 fractional Euler wavelets optimization algorithm for fractional-order differential equations

F Zhou, J Zhang - Journal of Computational Science, 2024 - Elsevier
A numerical scheme combining particle swarm optimization (PSO) optimization algorithm for
solving fractional-order differential equations is developed by using 2D scale-3 fractional …

Gegenbauer wavelets collocation technique for the nonlinear Fisher's reaction–diffusion equation with application arising in biological and chemical sciences

M Mulimani, S Kumbinarasaiah - International Journal of Dynamics and …, 2025 - Springer
This paper studies the nonlinear Fisher's equation, a second-order parabolic partial
differential equation, and the wavelets collocation method for solving it. The Gegenbauer …

Numerical simulations of Rosenau–Burgers equations via Crank–Nicolson spectral Pell matrix algorithm

M Izadi, HM Srivastava, K Mamehrashi - Journal of Applied Mathematics …, 2024 - Springer
The current work addresses the use of the numerical Crank–Nicolson technique along with
spectral collocation to seek the approximate solution of a class of high-order nonlinear …

Study of fractional telegraph equation via Shehu homotopy perturbation method

M Kapoor, N Bin Turki, NA Shah - Open Physics, 2024 - degruyter.com
The iterative Shehu transform homotopy perturbation method (HPM) is used in the present
research to address fractional telegraph equations in different dimensions, respectively …

A numerical study for nonlinear time-space fractional reaction-diffusion model of fourth-order

R Sharma, R Rajeev - Journal of Computational …, 2025 - asmedigitalcollection.asme.org
In this article, we discuss the fractional temporal-spatial reaction-diffusion model with
Neumann boundary conditions in one-and two-dimensional cases. The problem is solved by …

Application of the Fibonacci wavelet approach to the MHD boundary layer analysis of a Casson fluid past a stretching sheet

V Shree R, P Mallikarjun B - Numerical Heat Transfer, Part B …, 2024 - Taylor & Francis
The current work investigates the MHD boundary layer flow of Casson fluid over a stretching
sheet with the help of Fibonacci wavelet approach. The stable laminar MHD flow, mass and …

Effects of magnetism on porous rectangular fins with convection and radiation

S Ullah, OJ Algahtani, ZU Din, A Ali - Thermal Science, 2024 - doiserbia.nb.rs
A fin is an extended surface used to enhance the surface area of a heat transfer surface
between a hot source and the outside environment. To maximise the rate of heat …

A Numerical Simulation of Chemical Contaminant Transport Problems in Inhomogeneous Media Using a 2d-Tfdcr Model

MI Azis - Available at SSRN 5060751 - papers.ssrn.com
Problems that are assumed to be relevant for anisotropicinhomogeneous media and
governed by a Caputo time fractional diffusion-convection-reactionequation (TFDCRE) of a …