Semi-analytical investigation of modified Boussinesq-Burger equations

Öz

In this paper, a new analysis of nonlinear modified Boussinesq-Burger equation is revisited via optimal perturbation iteration technique. We first consider artificial parameters and perturbation theory and combine them to deal with nonlinear partial differential equations. After that, the recommended theory is employed to get new semi-analytical solutions of nonlinear partial differential equations. As will be seen from the results, this technique needs no discretization or linearization and can be directly applied to many nonlinear differential equations.

Anahtar Kelimeler

• Optimal perturbation iteration techniques,nonlinear partial differential equations

Değiştirilmiş Boussinesq-Burger denklemlerinin yarı analitik incelemesi

Öz

Bu çalışmada değiştirilmiş Boussinesq-Burger denklemlerinin optimal perturbasyon iterasyon yöntemi ile yarı analitik incelemesi yapılmıştır. Öncelikle önerilen metodun inşası için yapay parametreler ve perturbasyon teorisi ele alınmış ve bunlar birleştirilerek lineer olmayan kısmi diferansiyel denklemler için bir çözüm metodu geliştirilmiştir. Daha sonra ise elde edilen algoritmalar ile ele alınan problem yarı analitik olarak çözülmüştür. Sonuçlardan da anlaşılabileceği üzere bu teknik birçok lineer olmayan diferansiyel denkleme herhangi bir lineerizasyon gerektirmeden rahatlıkla uygulanabilmektedir.

Anahtar Kelimeler

• Optimal perturbasyon iterasyon yöntemi,lineer olmayan kısmi diferansiyel denklemler

Kaynakça

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