By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.

This paper deals with the numerical solution of the Euler equation for airfoils using approximate boundary conditions and the effects dorsal fin on vortex over delta wing at high angles of attack.

A simplified bead chain algorithm for determining object boundaries from an approximate boundary is presented. It is simpler than either the bead chain algorithm or the modified bead chain algorithm.