Some computational convergent iterative algorithms to solve nonlinear problems
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we apply Fourier transform to convert a nonlinear problem to a suitable equation and then we introduce a modified homotopy perturbation to divide the above equation into some smaller and easier equations. These equations can be solved by some iterative algorithms which are constructed by modified homotopy perturbation and Adomian polynomials. As an example, we use the iterative algorithms to find the exact solution of nonlinear ordinary and partial differential equations (in abbreviated form, ODE and PDE). To show ability and validity of the presented algorithms, we solve Korteweg-de Vries (KdV) equation to approximate the exact solution with a high accuracy. Furthermore, a discussion is presented herein about the convergence of the proposed algorithms in Banach space
Açıklama
Anahtar Kelimeler
Iterative algorithms, Modified homotopy, Adomian polynomials, Ordinary differential equations (ODE), Partial differential equations (PDE), KdV equation
Kaynak
Mathematical Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
17
Sayı
2
