A CUBIC B-SPLINE APPROXIMATION METHOD FOR 3D SIMULATION OF ELECTROSPUN NANOFIBER JET

A CUBIC B-SPLINE APPROXIMATION METHOD FOR 3D SIMULATION OF ELECTROSPUN NANOFIBER JET

To optimize electrospinning process, the 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 obtained by applying quartic B-spline collocation method. To achieve this, the Renekerʹs model (i.e. bead-spring model) 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 the random perturbation. The results show that it could be possible to build mathematically a real-time simulation