Numerical Methods for Solving Differential Algebraic Equations

This study involves the implementation of two numerical methods for solving linear Deferential-algebraic equations (DAEs): Power series and Backward Difference Formula (BDF). It aims to facilitate dealing with DAEs by analyzing these two numerical methods, designing simple algorithms, and using MATLAB programs to code the two algorithms. Some numerical examples were implemented by the two methods, tables and figures were also presented in order to make comparisons and conclusions. This study concluded that Power Series is easier to use, time and effort saving. Furthermore, it is direct in tackling the problems. Finally, some difficult problems were solved by using this method. Other methods were unable to deal with.