Solving Of Partial Differential Equations With Mixed Partial Derivatives In Polygonal Domain Using SC Mapping

In this paper,first,giving methods for solving partial differential equations with mixed partial derivatives and systems of partial differential equations in polygonal domain using Schwarz-Christoffel mapping,and giving reason why it is necessary to solve the equation.Then,using Schwarz-Christoffel transformation to transform systems of partial differential equations in polygonal into systems of equation in rectangular domain,by discret mesh give the difference scheme（matrix equation）,and giving the application of Galerkin projection solve method in this systems of equation,which is dominant in memory.Last,this two kinds of equations are solved efficiently by SC software package in MATLAB,and the numerical results verify some of our conjectures.