A NOVEL APPROACH IN HOMOTOPY PERTURBATION METHOD FOR THE EXPANSION OF NON-LINEAR TERMS

Authors

  • Z.A. Zaidi HITEC University Taxila Cantt - Department of Mathematics
  • Naveed Ahmed HITEC University Taxila Cantt - Department of Mathematics
  • Umar Khan HITEC University Taxila Cantt - Department of Mathematics
  • Syed Tauseef Mohyud-Din HITEC University Taxila Cantt - Department of Mathematics

Keywords:

Nonlinear, Partial differential equations, Homotopy perturbation method, Zaidian modification

Abstract

Homotopy Perturbation Method (HPM) is widely used in approximate calculation.  The complexity of the method is to expand the nonlinear terms in series with higher powers.  To make the calculation of nonlinear terms easier and friendly, we have used new algorithm based on derivatives.  The same approach can be introduced to expand the higher power nonlinear terms in place of He’s polynomial in HPM.

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Published

2013-12-31

How to Cite

Zaidi, Z., Ahmed, N., Khan, U., & Mohyud-Din, S. T. (2013). A NOVEL APPROACH IN HOMOTOPY PERTURBATION METHOD FOR THE EXPANSION OF NON-LINEAR TERMS. Italian Journal of Pure and Applied Mathematics, 31, 169–176. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6151

Issue

Section

Articoli - Forum Editrice

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