Splines solutions of boundary value problems that arises in sculpturing electrical process of motors with two rotating mechanism circuit

A Khalid, A Rehan, KS Nisar, MS Osman - Physica Scripta, 2021 - iopscience.iop.org
This study manages the numeric roots of the 7th-order linear & nonlinear boundary value
problems (BVPs) utilizing another CB (Cubic-B) spline strategy. Cubic Spline interpolation is …

Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19

T Omay, D Baleanu - Advances in Difference Equations, 2021 - Springer
In this study we propose a fractional frequency flexible Fourier form fractionally integrated
ADF unit-root test, which combines the fractional integration and nonlinear trend as a form of …

Numerical treatment of time-fractional Klein–Gordon equation using redefined extended cubic B-spline functions

M Amin, M Abbas, MK Iqbal, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …

Analysis of a delay-induced mathematical model of cancer

A Das, K Dehingia, HK Sarmah, K Hosseini… - Advances in Continuous …, 2022 - Springer
In this paper, the dynamical behavior of a mathematical model of cancer including tumor
cells, immune cells, and normal cells is investigated when a delay term is induced. Though …

[HTML][HTML] A computational study of two-dimensional reaction–diffusion Brusselator system with applications in chemical processes

S Haq, I Ali, KS Nisar - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, an effective numerical technique based on Lucas and Fibonacci polynomials
coupled with finite differences is developed for the solution of nonlinear reaction–diffusion …

Memory effect analysis using piecewise cubic B-spline of time fractional diffusion equation

M Shafiq, FA Abdullah, M Abbas, A Sm Alzaidi… - Fractals, 2022 - World Scientific
The purpose of this work is to study the memory effect analysis of Caputo–Fabrizio time
fractional diffusion equation by means of cubic B-spline functions. The Caputo–Fabrizio …

[PDF][PDF] A novel algorithm to solve nonlinear fractional quadratic integral equations

Y Talaei, S Micula, H Hosseinzadeh, S Noeiaghdam - AIMS Math, 2022 - aimspress.com
This paper addresses a new spectral collocation method for solving nonlinear fractional
quadratic integral equations. The main idea of this method is to construct the approximate …

[PDF][PDF] New group iterative schemes for solving the two-dimensional anomalous fractional sub-diffusion equation

A Alia, M Abbasb, T Akramc - J. Math. Comp. Sci, 2021 - researchgate.net
In this paper, new group iterative schemes are developed for the numerical solution of two-
dimensional anomalous fractional sub-diffusion equation subject to specific initial and …

Hybrid method for simulation of a fractional COVID-19 model with real case application

A Din, A Khan, A Zeb, MR Sidi Ammi, M Tilioua… - Axioms, 2021 - mdpi.com
In this research, we provide a mathematical analysis for the novel coronavirus responsible
for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order …

An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis

K Sadri, H Aminikhah - Chaos, Solitons & Fractals, 2021 - Elsevier
This study provides a numerical scheme for solving a class of fractional partial differential
equations with the variable order, referred to as fractional mobile-immobile advection …