Solve partial differential equations by two or more radial basis functions

摘要

There are many partial differential equations, their solution might be oscillatory or vary rapidly. We will get an inaccurate result or encounter an ill-conditioned problem whenever we solve it using Kansa’s collocation method, MFS or other methods. In this paper, we will present a new method, in which such PDEs will be solved by two or more radial basis functions (RBFs). So these PDEs can be solved efficiently and accurately.