Üç Canlı Türünün Oluşturduğu Besin Zinciri Modelinin Varyasyonel İterasyon Ve Homotopi Pertürbasyon Yöntemi ile Çözümü

Yıl 2008, Cilt: 8 Sayı: 2, 27 - 36, 01.12.2008

Mehmet Merdan Tahir Khaniyev

Öz

Anahtar Kelimeler

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Üç Canlı Türünün Oluşturduğu Besin Zinciri Modelinin Varyasyonel İterasyon Ve Homotopi Pertürbasyon Yöntemi ile Çözümü

Öz

Bu makalede, üç canlı türünün oluşturduğu besin zincri modeli gibi lineer olmayan adi diferensiyel denklem sistemlerinin yaklaşık analitik çözümlerini elde edebilmek için homotopy perturbation ve varyasyonel iterasyon yöntemleri uygulandı. Homotopy perturbation yöntemi varyasyonel iterasyon yöntemi ile mukayese edildi. Varyasyonel iterasyon yöntemi perturbation yöntemi olarak bilinen diğer non lineer yöntemlerden daha üstündür. Bu yöntemde genelde Lagrange çarpanları sistemler için düzeltme fonksiyoneli ile elde edildi. Çarpanlar varyasyonel teori ile belirlendi. Yöntemlerin doğruluğunu göstermek için birkaç tane grafik sunuldu

Anahtar Kelimeler

Varyasyonel iterasyon yöntemi, Homotopy perturbation yöntemi, üç canlı türünün oluşturduğu besin zinciri modeli

Kaynakça

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