The spectral collocation method for solving (HIV-1) via Legendre polynomials

GI El-Baghdady, MM Abbas, MS El-Azab… - International Journal of …, 2017 - Springer
In this paper, a numerical solution of population dynamics of human immunodeficiency type
1 virus (HIV-1) model is considered by using Legendre spectral-collocation method. The …

On the solution of the human immunodeficiency virus (HIV) infection model using spectral collocation method

S Thirumalai, R Seshadri, Ş Yüzbaşı - International Journal of …, 2021 - World Scientific
In this research work, we study the Human Immunodeficiency Virus (HIV) infection on helper
T cells governed by a mathematical model consisting of a system of three first-order …

The pseudospectral Legendre method for solving the HIV infection model of CD4+T cells.

K Parand, F Mirahmadian, M Delkhosh - Nonlinear Studies, 2018 - search.ebscohost.com
In this paper, the Pseudospectral Legendre (PL) method is presented to approximate the
solution of the HIV infection model of CD4< sup>+ T cells. The method is based on the …

[HTML][HTML] Legendre spectral collocation method for the solution of the model describing biological species living together

PK Sahu, SS Ray - Journal of Computational and Applied Mathematics, 2016 - Elsevier
In this article, numerical techniques have been developed to solve a system of two nonlinear
integro-differential equations which arises in biological model. This model has been solved …

[PDF][PDF] Numerical solutions of fractional Covid-19 model using spectral collocation method

S Ghosh, S Kumar - Science & Technology Asia, 2021 - thaiscience.info
In this work, the mathematical model is considered on COVID-19 which makes the lives of
people in the world into a hell. This present model has four components that are expressed …

Modal Shifted Chebyshev Spectral Collocation Technique for Solving Burger's–Fisher, Burger's–Huxley and Two-dimensional Burger's Equations

DA Hammad - International Journal of Applied and Computational …, 2024 - Springer
The spectral collocation method has gained great interest for many researchers in the last
decade due to the rapid development in obtaining the optimal solution for real phenomena …

Quasilinearization-Lagrangian method to solve the HIV infection model of CD4T cells

K Parand, Z Kalantari, M Delkhosh - SeMA Journal, 2018 - Springer
In this paper, the quasilinearization and Lagrangian methods are used for solving a model of
the HIV infection of CD4^++ T cells. This approach is based on the Lagrangian method by …

[PDF][PDF] Global spectral collocation method with Fourier transform to solve differential equations

SI Akter, MS Mahmud, M Kamrujjaman… - GANIT: Journal of …, 2020 - researchgate.net
Numerical analysis is the area of mathematics that creates, analyzes, and implements
algorithms for solving numerically the problems from real-world applications of algebra …

A spectrally accurate time–space pseudospectral method for reaction–diffusion Malaria infection model

AK Mittal - Computational and Applied Mathematics, 2022 - Springer
Malaria is a possibly dangerous infection brought about by a parasite. This infection is more
normal in nations with heat and humidities. Because of chromosomal changes, the elements …

[HTML][HTML] A generalized Laguerre–Legendre spectral collocation method for solving initial-boundary value problems

M Tatari, M Haghighi - Applied Mathematical Modelling, 2014 - Elsevier
In this research, a mixed spectral collocation method based on Kronecker product is
proposed for solving initial-boundary value problems. New implementation is suggested to …