New Modification of Laplace–Adomian Decomposition Method for the Fifth-Order KdV Equation

Autor:	Bothayna S. Kashkari, H. O. Bakodah
Rok vydání:	2014
Předmět:	Exact solutions in general relativity Laplace transform Initial value problem Applied mathematics Decomposition method (constraint satisfaction) Kaup–Kupershmidt equation Korteweg–de Vries equation Adomian decomposition method Mathematics
Zdroj:	International Conference on Mathematical Sciences and Statistics 2013 ISBN: 9789814585323
DOI:	10.1007/978-981-4585-33-0_9
Popis:	In this paper, for obtaining accurate solutions of the fifth-order KdV equation with initial condition, a new modification of Laplace–Adomian decomposition method is proposed. To see the accuracy of the proposed method, L 2 and \(L_{\infty}\) error norms are calculated in test problems. The numerical results are found to be in a good agreement with exact solutions and with the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b94f4bd72dc39f678426b5c1cd4e306f https://doi.org/10.1007/978-981-4585-33-0_9 Zobrazit plný text záznamu