Üçüncü Mertebeden Kısmi Diferansiyel Denklemin Homotopy Pertürbasyon Metodu ile Çözümü

Bu çalışmada, başlangıç değerlerine bağlı olarak verilen üçüncü mertebeden kısmi diferansiyel denklemin çözümü homotopy pertürbasyon metodu ile incelendi. Yöntemi test etmek için bir örnek problem kullanıldı. Bu örnek problem üzerinde elde edilen çözümün tam çözüme denk olduğu görüldü. Matlab programı kullanılarak tam çözümün grafiği elde edildi.

Solution of Third Order Partial Differential Equation by Homotopy Perturbation Method

In this study, the solution of the third-order partial differential equation given depending on the initial values is analyzed by homotopy perturbation method. An example problem is used to test the method. It is seen that the solution obtained on this example problem was equivalent to the exact solution. The graph of the exact solution is obtained using the Matlab program.

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