Abstract
ABSTRACT In this article, we introduce a finite-difference method to solve linear and nonlinear third-order boundary-value problems. We use only four grid points in this method of solution. This method is convergent to fourth-order accuracy. In addition, we show that this method is unconditionally stable. The Falkner-Skan equation and the Blasius equation are considered as special cases of nonlinear problems. Numerical examples are given to illustrate the method and its convergence.
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