TITLE:
Efficient Numerical Methods for Solving Differential Algebraic Equations
AUTHORS:
Ampon Dhamacharoen
KEYWORDS:
Differential-Algebraic Equations, Newton-Broyden Method, Index-2 Hessenberg DAE
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.1,
January
11,
2016
ABSTRACT: This research aims to solve Differential Algebraic Equation (DAE) problems in their original form, wherein both the differential and algebraic equations remain. The Newton or Newton-Broyden technique along with some integrators such as the Runge-Kutta method is coupled together to solve the problems. Experiments show that the method developed in this paper is efficient, as it demonstrates that implementation of the method is not difficult, and such method is able to provide approximate solutions with ease within some desired accuracy standards.