Modification of Coupled Drinfel’d-Sokolov-Wilson Equation and Approximate Solutions by Optimal Perturbation Iteration Method

Year 2020, Volume: 20 Issue: 1, 35 - 40, 17.03.2020

Sinan Deniz

https://doi.org/10.35414/akufemubid.649745

Cited By: 7

Abstract

İkili Drinfel’d-Sokolov-Wilson Denklemlerinin Modifiyesi ve Yaklaşık Çözümleri İçin Optimal Perturbasyon İterasyon Metodu

Abstract

Bu araştırma makalesinde, kısmi diferansiyel denklemler sistemi için yeni geliştirilen bir metot yardımıyla yarı analitik çözümler bulmaya çalışıyoruz. Optimal perturbasyon iterasyon yöntemini tanıtıyor ve sonra yeniden modifiye edilen ikili Drinfel’d-Sokolov-Wilson denklemine uyguluyoruz. Klasik perturbasyon teorisi ve optimizasyon teknikleri birleştirilerek bu yöntemi inşa ediyoruz. Optimal perturbasyon iterasyon olarak önerilen metodun gücünü göstermek için özel bir örneği derinlemesine irdeliyoruz. Teorem ve uygulamalar önerilen tekniğin ele alınan denklemler için iterasyonun daha ilk basamaklarında tam çözüme hızlı bir şekilde yaklaştığını göstermektedir

Keywords

Optimal perturbasyon iterasyon yöntemi, Kısmi diferansiyel denklemler sistemi, solitonlar, yarı-analitik metotlar

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