Title of article :
Numerical quasilinearization scheme for the integral equation form of the Blasius equation
Author/Authors :
Najafi ، Esmaeil - Urmia University
Abstract :
The method of quasilinearization is an effective tool to solve nonlinear equations when some conditions on the nonlinear term of the problem are satisfied. When the conditions hold, applying this technique gives two sequences of coupled linear equations and the solutions of these linear equations are quadratically convergent to the solution of the nonlinear problem. In this article, using some transformations, the wellknown Blasius equation which is a nonlinear third order boundary value problem, is converted to a nonlinear Volterra integral equation satisfying the conditions of the quasilinearization scheme. By applying the quasilinearization, the solutions of the obtained linear integral equations are approximated by the collocation method. Employing the inverse of the transformation gives the approximation solution of the Blasius equation. Error analysis is performed and comparison of results with the other methods shows the priority of the proposed method.
Keywords :
Quasilinearization technique , Volterra integral equations , Blasius equation , Collocation method
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
