a numerical method for solving physiology problems by shifted chebyshev operational matrix

In this study, a new numerical solution of singular nonlinear differential equations, stemming frombiology and physiology problems, is proposed. the methodology is primarily based on the shiftedchebyshev polynomials operational matrix of derivative and collocation. furthermore, the convergenceanalysis on the proposed method is carried out. to assess the accuracy and analysis of performanceof the method, five numerical problems, based on the singular nonlinear differential equations,on different subjects, such as the human head, oxygen diffusion in a spherical cell and bessel differential equation, were solved. the numerical results were compared with other existed methods intables for verification and further discussions.