A Numerical Method For Solving Physiology Problems By Shifted Chebyshev Operational Matrix

Subject Areas : International Journal of Industrial Mathematics

E. Hashemizadeh ¹ , F. Mahmoodi ²

1 - Young Researchers and Elite Club, Karaj Branch, Islamic Azad University, Karaj, Iran.
2 - Young Researchers and Elite Club, Karaj Branch, Islamic Azad University, Karaj, Iran.

Received: 2017-03-22 Accepted : 2017-10-22 Published : 2018-01-01

Keywords: Differential equations‎, ‎Physiology problems‎, ‎Convergence analysis‎, ‎Shifted Chebyshev polynomials‎, ‎Operational matrix of derivative‎,

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.