BibTex RIS Cite

HELMHOLTZ DENKLEMİ İÇİN HOMOTOPY PERTÜRBATİON, DECOMPOSİTİON METHOD VE VARİATİONAL İTERASYON YÖNTEMLERİ ARASINDA BİR KARŞILAŞTIRMA

Year 2008, Volume: 3 Issue: 1, 93 - 106, 01.02.2008

Abstract

Bu makalede, nispeten yeni bir nümerik teknik uyguladık ve Homotopy Perturbation Methodu, Adomian Decomposition Method, ve variational iteration metodu arasında mukayeseli bir çalışma sunduk. Uygulamalı matematikteki bu metodlar yaklaşık çözümler elde etmek için etkili bir yöntem olabilir. Çalışma üç metodun önemli özelliklerini ana hatları ile göstermektedir. Analizler, Helmholtz denkleminin model problemi incelenerek örneklendirilecektir. Bu makale özellikle Homotopy Perturbation Methodu, Adomian Decomposition Method, ve variational iteration metodunun nümerik bir karşılaştırması ile ilgilidir. Nümerik sonuçlar yeni metodularin oldukça doğru ve hızlı uygulanabilir olduğunu göstermektedir.

A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION

Year 2008, Volume: 3 Issue: 1, 93 - 106, 01.02.2008

Abstract

In this article, we implement a relatively new numerical technique and we present a comparative study among Homotopy perturbation method and Adomian decomposition method ,the variational iterational method.These methods in applied mathematics can be an effective procedure to obtain for approximate solutions.The study outlines the significant features of the three methods.The analysis will be illustrated by investigating the homogeneous Helmholtz equation model problem. This paper is particularly concerned a numerical comparison with the Adomian decomposition and Homotopy perturbation method ,the variational iterational method The numerical results demonstrate that the new methods are quite accurate and readily implemented.

There are 0 citations in total.

Details

Primary Language Turkish
Journal Section Physics
Authors

Hasan Bulut This is me

Publication Date February 1, 2008
Published in Issue Year 2008 Volume: 3 Issue: 1

Cite

APA Bulut, H. (2008). A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION. Physical Sciences, 3(1), 93-106. https://doi.org/10.12739/10.12739
AMA Bulut H. A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION. Physical Sciences. February 2008;3(1):93-106. doi:10.12739/10.12739
Chicago Bulut, Hasan. “A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION”. Physical Sciences 3, no. 1 (February 2008): 93-106. https://doi.org/10.12739/10.12739.
EndNote Bulut H (February 1, 2008) A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION. Physical Sciences 3 1 93–106.
IEEE H. Bulut, “A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION”, Physical Sciences, vol. 3, no. 1, pp. 93–106, 2008, doi: 10.12739/10.12739.
ISNAD Bulut, Hasan. “A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION”. Physical Sciences 3/1 (February 2008), 93-106. https://doi.org/10.12739/10.12739.
JAMA Bulut H. A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION. Physical Sciences. 2008;3:93–106.
MLA Bulut, Hasan. “A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION”. Physical Sciences, vol. 3, no. 1, 2008, pp. 93-106, doi:10.12739/10.12739.
Vancouver Bulut H. A COMPARSION AMONG HOMOTOPY PERTURBATION METHOD AND THE DECOMPOSITION METHOD WITH THE VARIATIONAL ITERATION METHOD FOR HELMHOLTZ EQUATION. Physical Sciences. 2008;3(1):93-106.