SOLUTIONS TO THE BLASIUS AND SAKIADIS PROBLEMS VIA A NEW SINC-COLLOCATION APPROACH

Two well-known nonlinear laminar boundary layer problems, the Blasius and the Sakiadis problems, are treated by a new Sinc-Collocation approach based on first derivative interpolation. Even in the presence of singularities or infinite domains, the Sinc-Collocation method is known to exhibit exponential convergence, resulting in highly accurate solutions. The new method is suggested over the customary Sinc approaches due to decreased sensitivity to numerical errors. It is shown that this approach is an accurate and efficient tool in solving these nonlinear boundary value problems.