Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology
Joint Authors
Singh, Randhir
Kumar, Jitendra
Nelakanti, Gnaneshwar
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We introduce an efficient recursive scheme based on Adomian decompositionmethod (ADM) for solving nonlinear singular boundary value problems.
This approach is based on a modification of the ADM; here we use all the boundary conditions to derive an integral equation before establishing the recursive scheme for the solution components.
In fact, we develop the recursive scheme without any undetermined coefficients while computing the solution components.
Unlike the classical ADM, the proposed method avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients.
The approximate solution is obtained in the form of series with easily calculable components.
The uniqueness of the solution is discussed.
The convergence and erroranalysis of the proposed method are also established.
The accuracy and reliability of the proposed method are examined by four numerical examples.
American Psychological Association (APA)
Singh, Randhir& Kumar, Jitendra& Nelakanti, Gnaneshwar. 2014. Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051698
Modern Language Association (MLA)
Singh, Randhir…[et al.]. Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1051698
American Medical Association (AMA)
Singh, Randhir& Kumar, Jitendra& Nelakanti, Gnaneshwar. Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051698