![](/images/graphics-bg.png)
New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method
Joint Authors
Singh, Randhir
Kumar, Jitendra
Nelakanti, Gnaneshwar
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We propose two new modified recursive schemes for solving a class of doubly singular two-point boundary value problems.
These schemes are based on Adomian decomposition method (ADM) and new proposed integral operators.
We use all the boundary conditions to derive an integral equation before establishing the recursive schemes for the solution components.
Thus we develop recursive schemes without any undetermined coefficients while computing successive solution components, whereas several previous recursive schemes have done so.
This modification also avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients with multiple roots, which is required to complete calculation of the solution by several earlier modified recursion schemes using the ADM.
The approximate solution is computed in the form of series with easily calculable components.
The effectiveness of the proposed approach is tested by considering four examples and results are compared with previous known results.
American Psychological Association (APA)
Singh, Randhir& Kumar, Jitendra& Nelakanti, Gnaneshwar. 2012. New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-479963
Modern Language Association (MLA)
Singh, Randhir…[et al.]. New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method. Advances in Numerical Analysis No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-479963
American Medical Association (AMA)
Singh, Randhir& Kumar, Jitendra& Nelakanti, Gnaneshwar. New Approach for Solving a Class of Doubly Singular Two-Point Boundary Value Problems Using Adomian Decomposition Method. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-479963
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479963