Dynamical control on the Adomian decomposition method for solving shallow water wave equation

Autor:	Samad Noeiaghdam, L. Noeiaghdam, D. N. Sidorov
Rok vydání:	2021
Předmět:	Waves and shallow water Applied mathematics Dynamical control Wave equation Adomian decomposition method Mathematics
Zdroj:	iPolytech Journal. 25:623-632
ISSN:	2500-1590 1814-3520
DOI:	10.21285/1814-3520-2021-5-623-632
Popis:	The aim of this study is to apply a novel technique to control the accuracy and error of the Adomian decomposition method (ADM) for solving nonlinear shallow water wave equation. The ADM is among semi-analytical and powerful methods for solving many mathematical and engineering problems. We apply the Controle et Estimation Stochastique des Arrondis de Calculs (CESTAC) method which is based on stochastic arithmetic (SA). Also instead of applying mathematical packages we use the Control of Accuracy and Debugging for Numerical Applications (CADNA) library. In this library we will write all codes using C++ programming codes. Applying the method we can find the optimal numerical results, error and step of the ADM and they are the main novelties of this research. The numerical results show the accuracy and efficiency of the novel scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7bb1f1e15d7e7caa5326c9214a1770b3 https://doi.org/10.21285/1814-3520-2021-5-623-632 Zobrazit plný text záznamu