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

Z.A. Zaidi; Naveed Ahmed; Umar Khan; Syed Tauseef Mohyud-Din

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

Autori

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

Parole chiave:

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.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

Downloads

PDF (English)

Pubblicato

2013-12-31

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6151