Obtaining the solution of Benney-Luke Equation by Laplace and adomian decomposition methods

Year 2017, Volume: 21 Issue: 6, 1524 - 1528, 01.12.2017

Hami Gündoğdu , Ömer Faruk Gözükızıl

https://doi.org/10.16984/saufenbilder.340379

Abstract

In this study, we consider the inhomogeneous Benney-Luke
equation with its initial conditions. Laplace Decomposition Method and Adomian
Decomposition Method are applied to this equation. Then, the solution yielding
the given initial conditions is gained.

Keywords

Laplace Decomposition Method, Adomian Decomposition Method, Benney-Luke Equation, The Noise terms

Laplace ve adomian ayrışma metodları ile Benney-Luke denkleminin çözümünü elde etme

Abstract

Bu çalışmada, başlangıç değerleri verilen homojen olmayan
Benney-Luke denklemini ele aldık. Laplace ve Adomian ayrışma metotları bu
denkleme uygulanmıştır. Daha sonra, bu denklemin verilen başlangıç değerini
sağlayan çözümü elde edilmiştir.

Keywords

laplace ayrışma Metodu, Adomian ayrışma Metodu, Benney-Luke denklemi, parazit terimler

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