ABSTRACT

206To optimize electrospinning process, B-spline collocation methods and a new ODEs solver based on B-spline quasi-interpolation are developed. The problem consists of nonlinear ordinary differential equations. To solve the system of ODE, a 3D simulation was obtained by applying quartic B-spline collocation method. To achieve this, Reneker’s model (i.e., bead-spring model) was applied and the governing equations were numerically simulated by new ODEs solver without using perturbation equations in x and y directions. Most likely, this technique can represent the results of the random perturbation. The results show that it could be possible to build mathematically a real-time simulation.