A novel technique to solve nonlinear higher-index Hessenberg differential–algebraic equations by Adomian decomposition method-Reference-Cited by-同舟云学术

A novel technique to solve nonlinear higher-index Hessenberg differential–algebraic equations by Adomian decomposition method

Published:2016-05-11 Issue:1 Volume:5 Page:
ISSN:2193-1801
Container-title:SpringerPlus
language:en
Short-container-title:SpringerPlus

Author:

Benhammouda Brahim

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Link

http://link.springer.com/content/pdf/10.1186/s40064-016-2208-3.pdf

Reference29 articles.

1. Adomian G (1984) A new approach to non-linear partial differential equations. J Math Anal Appl 102:73–85

2. Adomian G (1988) A review of the decomposition method in applied mathematics. J Math Anal Appl 135:501–544

3. Adomian G, Rach R (1985) On the solution of algebraic equations by the decomposition method. J Math Anal Appl 105(1):141–166

4. Almazmumy M, Hendi FA, Bakodah HO, Alzumi H (2012) Recent modifications of Adomian decomposition method for initial value problem in ordinary differential equations. Am J Comput Math 2:228–234

5. Bakodah HO (2012) Some modification of Adomian decomposition method applied to nonlinear system of Fredholm integral equations of the second kind. Int J Contemp Math Sci 7(19):929–942

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