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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.
© Emerald Group Publishing Limited
2013
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