An enhanced numerical solution of Blasius equation by means of the method of differential quadrature

Abstract eng:
The differential quadrature method (DQM) is used to solve the two-dimensional Blasius boundary layer problem which is described by a third-order nonlinear differential equation. The governing nonlinear equation of boundary-value Blasius problem is first converted to a pair of nonlinear initial-value problems and then solved by both the DQ method and classical fourth-order Runge-Kutta method (RK4). It is revealed that as compared to the RK4, the DQ method can achieve much higher order of accuracy for the numerical results using larger time step sizes.

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