Analytical Approximations for Nonlinear Integro-Differential Equations

Autor:	nabaa najdi hasan, Majid R. Nasif
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Nonlinear Intgro-Differential Equation of Second Kind Adomian Decomposition Method Laplace Transform Sumudu Transform. Science
Zdroj:	Al-Mustansiriyah Journal of Science, Vol 30, Iss 3, Pp 64-70 (2019)
Druh dokumentu:	article
ISSN:	1814-635X 2521-3520
DOI:	10.23851/mjs.v30i3.675
Popis:	In this work, we are concerned with how to find a solution for the nonlinear integral andointegro-differentialeequationsuusingttwoomethodsoLaplaceotransformiseries idecomposition method (LTSDM) and Sumuduutransform series decomposition method (STSDM). In these methods, the nonlinear part of the equation described in Adomian idecomposition series. The Laplace and Sumudu methods are found to be reliable and accurate. Four examples are discussed to check the applicability and the simplicity of these methods. Finally, the results are tabulated and displayed graphically to make comparisons between the approximate and exact solutions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/bbbce53e1f1c4c02b35de207a82b06d7 Zobrazit plný text záznamu View record in DOAJ