In the past, the world of numerical solutions for Partial Differential Equations has been dominated by Finite Element Method, Finite Difference Method, and Boundary Element Method. These three methods all revolve around using a mesh or grid to solve their problems. This complicates problems with irregular boundaries and domains.; In this thesis, we develop methods for solving partial differential equations using Radial Basis Functions. This method is meshless, easy to understand, and even easier to implement. |