Title of article
A Numerical Method For Solving Physiology Problems By Shifted Chebyshev Operational Matrix
Author/Authors
Hashemizadeh, E. Young Researchers and Elite Club - Karaj Branch, Islamic Azad University, Karaj, Iran , Mahmoodi, F. Young Researchers and Elite Club - Karaj Branch, Islamic Azad University, Karaj, Iran
Pages
8
From page
95
To page
102
Abstract
In this study, a numerical solution of singular nonlinear differential equations, stemming from biology and physiology problems, is proposed. The methodology is based on the shifted Chebyshev polynomials operational matrix of derivative and collocation. To assess the accuracy of the method, five numerical problems, such as the human head, Oxygen diffusion and Bessel differential equation, were solved. The numerical results were compared with other existed methods in tables for verification.
Keywords
Physiology problems , Convergence analysis , Operational matrix of derivative , Shifted Chebyshev polynomials , Differential equations
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2438553
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