An Original Study On The Approximate Solution For A Kind Of Prandtl Boundary-Layer Equations

In this paper, the inverse operator method (IOM)is described, which has been developed in the past decade .This paper introduces the basic thought of method, steps as well as crucial technology. The inverse operator method has much advantage, such as high degree of accuracy, little limit ability to solve strong nonlinear problem and so on.This paper has established a class of mathematics model about Prandtl boundary layer problem. Compare to Navier-Stokes equation, Prandtl boundary layer equation has important simplicity and easier. Actually , N-S equation has three unknown functions u, v, p and three equations , now Prandtl boundary layer equation has two unknown functions w,vand two equations only, and viscosity terms has partly reduced. But on the other hand, should also see , boundary layer equation as before is a nonlinear differential equation set of two steps , the nonlinear nature of equation is stillretained , So solving this system of equations on mathematics untie is fairly difficult.In this paper I has applied inverse operator method to the solution of the nonlinear boundary layer equation on base of the former knowledge, and have gotten the approximate analytic solution. The result is satisfactory still. Solution obtained is physically realistic because of the asoidance of assumptions made purely for mathematical tractability by usual methods. It is Further explained that this method have large application scope and development future.