[PDF][PDF] Legendre polynomials' second derivative tau method for solving Lane-Emden and Ricatti equations

M Abdelhakem, M Fawzy, M El-Kady… - Appl. Math. Inf …, 2023 - naturalspublishing.com
This paper investigates a highly efficient method that depends on the Tau method for solving
initial and boundary value problems. The second derivatives of Legendre polynomials …

[PDF][PDF] Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems

D Abdelhamid, W Albalawi, KS Nisar, A Abdel-Aty… - AIMS math, 2023 - core.ac.uk
A new form of basis functions structures has been constructed. These basis functions
constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of …

A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model

AF Koura, KR Raslsn, KK Ali… - … Methods for Differential …, 2024 - cmde.tabrizu.ac.ir
The present article investigates a numerical analysis of COVID-19 (temporal and spatio-
tempora) lockdown-vaccination models. The proposed models consist of six nonlinear …

Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model

KK Ali, K Raslsn, AF Koura… - … Methods for Differential …, 2024 - cmde.tabrizu.ac.ir
In this article, we propose an optimal control of Hepatitis B virus (HBV) infection model. We
use four control functions in this model to show the effect of quarantine, vaccination …

A numerical study for covid-19 spatio-temporal lockdown model

AF Koura, KR Raslan, KK Ali… - Al-Azhar Bulletin of …, 2023 - absb.researchcommons.org
This article presents a detailed numerical study of lockdown (temporal and spatio-temporal)
mathematical models for COVID-19. The temporal model proposed in this study comprises a …