Fourth order B-spline collocation technique for convection-diffusion equation

In present article, collocation method with fourth order B-spline function has been applied for computing study of convection diffusion equation, which describe various stage fluid dynamics, petroleum, gas motion, molecular physics, condensed matter computational geophysics etc. Authors found that the scheme is most suitable to explain numeric solution partial differential equation. Rubin graves technique accustomed linearizing non-linear term pde. Where Crank-Nicolson and FDM makes discretization derivative spatial time derivatives Fourier series have proposed analyse unconditionally stable (Von-Neumann). a way find accuracy efficiency method, example executed on one compared outcome in experiment segment.