A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems

Yıl 2013, Cilt: 1 Sayı: 2, 1 - 10, 01.10.2013

Nalan Antar Nevin Pamuk

Öz

In this paper, we give a new approach to the trial function for Homotopy Perturbation Method (HPM) which is powerful, easy-to-use and effective approximateanalytical mathematical tool. By generalizing of the trial function, we obtain betterapproximate series solutions for the linear or nonlinear problems, and we minimize thecomputational work and the time by choosing trial function properly

Anahtar Kelimeler

Nonlinear differential equations, homotopy perturbation method, series solutions

A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems

Öz

In this paper, we give a new approach to the trial function for Homotopy Perturbation Method (HPM) which is powerful, easy-to-use and effective approximate
analytical mathematical tool. By generalizing of the trial function, we obtain better
approximate series solutions for the linear or nonlinear problems, and we minimize the
computational work and the time by choosing trial function properly.

Anahtar Kelimeler

Nonlinear differential equations

Kaynakça

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