Modified homotopy perturbation method for solving the Stokes equations

Authors:
Xinlong Feng;Yinnian He
Affiliations:
College of Mathematics and System Science, Xinjiang University, Urmuqi 830046, PR China;College of Mathematics and System Science, Xinjiang University, Urmuqi 830046, PR China and Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

A new approach is proposed for the stationary Stokes equations. Based on the homotopy perturbation method, some iterative algorithms are constructed, and four kinds of perturbation cases are considered respectively. Numerical experiments show that these algorithms are simple and effective.