Homotopi Pertürbasyon Metodu ile Kompleks Denklemlerin Çözümü Üzerine

Yıl 2024, Cilt: 14 Sayı: 2, 157 - 167, 31.12.2024

Murat Düz , Şeyda Çamlıca

https://doi.org/10.37094/adyujsci.1484685

Öz

Bu çalışmada kompleks denklemler homotopi pertürbasyon metodu(HPM) kullanılarak çözüldü. İlk önce denklemi reel ve imajiner kısımlarına ayırdık. Böylece bir bilinmeyenli denklemden iki bilnmeyenli denklem sistemi elde edildi. Daha sonra HPM’yi denklemin reel ve imajiner kısımlarına uyguladık. Böylece çözümün reel ve imajiner kısımlarını elde ettik.

Anahtar Kelimeler

Homotopi pertürbasyon metodu , Kompleks denklemler , Denklem sistemi

On Solution of Complex Equations with the Homotopy Perturbation Method

Öz

In this study, complex differential equations are solved using the homotopy perturbation method (HPM). Firstly, we separated the real and imaginary parts of the equation. Thus, from one unknown equation is obtained two unknown equation systems. Later, we applied HPM real and imaginary to parts of the equation. So, we have obtained real and imaginary parts of the solution.

Anahtar Kelimeler

Homotopy Perturbation method , Complex equations , Equation system

Kaynakça

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