Article citationsMore>>

Brenan, K.E., Campbell, S.L. and Petzold, L.R. (1996) Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Revised and Corrected Reprint of 1989 Original, with an Additional Chapter and Additional References. Classic in Applied Mathematics, 14. SIAM, Philadelphia.

has been cited by the following article:

• 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.