A Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy integral transform method (AHITM), for the approximate solution of wave problems in multi-dimensional orders. The Aboodh integral transform (AIT) removes the restriction of variables in the recurrence relation, whereas the homotopy perturbation method (HPM) derives the successive iterations using the initial conditions. The convergence analysis is provided to study a wave equation with multiple dimensions. Some computational applications are considered to show the efficiency of this scheme. Graphical representation between the approximate and the exact solution predicts the high rate of convergence of this approach.
Açıklama
Anahtar Kelimeler
Aboodh integral transform, homotopy perturbation method, wave problems, series results
Kaynak
Axioms
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
11
Sayı
12
