Stability of homotopy perturbation technique for an inverse diffusion problem
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
The Present research aims to offer a solution to one-dimensional inverse problem using the Homotopy perturbation method (HPM). In the Problem, the values of function are known in one boundary; However, the partial differential equations may be converted into a system of nonlinear ordinary differential equations by means of finite difference method and discretizing the time variable. Therefore, an approximate solution can be found at discrete times if HPM is applied. It will be demonstrated that such HPM application present 3 advantages of rapidity, accuracy and stability.
Açıklama
Anahtar Kelimeler
Homotopy perturbation, Diffusion equation, Approximate solution, Inverse problem
Kaynak
International Conference on Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Zakeri, A. ve Jannati, Q. (2009). Stability of homotopy perturbation technique for an inverse diffusion problem. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 56-57.
