Mohammad Zurigat, Application of the multi-step homotopy analysis method to solve nonlinear differential algebraic equations, Stud. Univ. Babes-Bolyai Math., 60 (1) (2015), 3-12.
In this paper, a differential algebraic equations (DAE?s) is studied
and its approximate solution is presented using a multi-step homotopy analy-
sis method (MHAM). The method is only a simple modification of the homotopy
analysis method (HAM), in which it is treated as an algorithm in a sequence
of small intervals (i.e. time step) for finding accurate approximate solutions to
the corresponding systems. The solutions obtained are also presented graphically.
Figurative comparisons between the MHAM and the exact solution reveal that
this modified method is very effective and convenient.