A semi-analytical technique for the solution of differential-algebraic equations and applications in flow of an incompressible viscous fluid

Purpose – The main purpose of this paper is to find convenient methods to solve the differential-algebraic equations which have great importance in various fields of science and engineering. Design/methodology/approach – The paper applies a semi-analytical approach, using both the homotopy analysis method (HAM) and the modified homotopy analysis method (MHAM) for finding the solution of linear and nonlinear DAEs. Findings – The results show that the new modification can effectively reduce computational costs and accelerates the rapid convergence of the series solution. Originality/value – Some high index DAEs are investigated to present a comparative study between the HAM and the MHAM.