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

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

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

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

Keywords:

Nonlinear diﬀerential equations, homotopy perturbation method series solutions,

Tam Metin

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Bibtex	@araştırma makalesi { ejoir72942, journal = {Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi}, issn = {2147-8503}, address = {}, publisher = {Sakarya Üniversitesi}, year = {2013}, volume = {1}, number = {2}, pages = {1 - 10}, title = {A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems}, key = {cite}, author = {Antar, Nalan and Pamuk, Nevin} }
APA	Antar, N. & Pamuk, N. (2013). A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems . Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi , 1 (2) , 1-10 .
MLA	Antar, N. , Pamuk, N. "A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems" . Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi 1 (2013 ): 1-10 <
Chicago	Antar, N. , Pamuk, N. "A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems". Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi 1 (2013 ): 1-10
RIS	TY - JOUR T1 - A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems AU - NalanAntar, NevinPamuk Y1 - 2013 PY - 2013 N1 - DO - T2 - Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi JF - Journal JO - JOR SP - 1 EP - 10 VL - 1 IS - 2 SN - 2147-8503- M3 - UR - Y2 - 2022 ER -
EndNote	%0 Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems %A Nalan Antar , Nevin Pamuk %T A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems %D 2013 %J Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi %P 2147-8503- %V 1 %N 2 %R %U
ISNAD	Antar, Nalan , Pamuk, Nevin . "A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems". Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi 1 / 2 (Ekim 2013): 1-10 .
AMA	Antar N. , Pamuk N. A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems. Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi. 2013; 1(2): 1-10.
Vancouver	Antar N. , Pamuk N. A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems. Elektronik Mesleki Gelişim Ve Araştırmalar Dergisi. 2013; 1(2): 1-10.
IEEE	N. Antar ve N. Pamuk , "A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems", , c. 1, sayı. 2, ss. 1-10, Eki. 2013