solving volterra's population model via rational christov functions collocation ‎method

The present study is an attempt to find a solution for volterra's population model by utilizing spectral methods based on rational christov functions. volterra's model is a nonlinear integro-differential equation. first, the volterra's population model is converted to a nonlinear ordinary differential equation (ode), then researchers solve this equation (ode).the accuracy of method is tested in terms of res error and compare the obtained results with some well-known results. the numerical results obtained show that the proposed method produces a convergent solution.