A Local RBF-generated Finite Difference Method for Partial Differential Algebraic Equations.

In this paper, we propose the meshless approach for the numerical solution of time dependent partial differential algebraic equations (PDAEs) in terms of finite difference scheme generated from radial basis functions (RBF-FD). Using the method, we can circumvent the influence from an index jump of PDAEs in some degree. Numerical example shows that the method has some advantages over some known methods, such as less computation and more accurate for PDAEs. [ABSTRACT FROM AUTHOR]