New Modified Adomian Decomposition Recursion Schemes for Solving Certain Types of Nonlinear Fractional Two-Point Boundary Value Problems
Joint Authors
Sirisubtawee, Sekson
Kaewta, Supaporn
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-10
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We apply new modified recursion schemes obtained by the Adomian decomposition method (ADM) to analytically solve specific types of two-point boundary value problems for nonlinear fractional order ordinary and partial differential equations.
The new modified recursion schemes, which sometimes utilize the technique of Duan’s convergence parameter, are derived using the Duan-Rach modified ADM.
The Duan-Rach modified ADM employs all of the given boundary conditions to compute the remaining unknown constants of integration, which are then embedded in the integral solution form before constructing recursion schemes for the solution components.
New modified recursion schemes obtained by the method are generated in order to analytically solve nonlinear fractional order boundary value problems with a variety of two-point boundary conditions such as Robin and separated boundary conditions.
Some numerical examples of such problems are demonstrated graphically.
In addition, the maximal errors (MEn) or the error remainder functions (ERn(x)) of each problem are calculated.
American Psychological Association (APA)
Sirisubtawee, Sekson& Kaewta, Supaporn. 2017. New Modified Adomian Decomposition Recursion Schemes for Solving Certain Types of Nonlinear Fractional Two-Point Boundary Value Problems. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1167753
Modern Language Association (MLA)
Sirisubtawee, Sekson& Kaewta, Supaporn. New Modified Adomian Decomposition Recursion Schemes for Solving Certain Types of Nonlinear Fractional Two-Point Boundary Value Problems. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-20.
https://search.emarefa.net/detail/BIM-1167753
American Medical Association (AMA)
Sirisubtawee, Sekson& Kaewta, Supaporn. New Modified Adomian Decomposition Recursion Schemes for Solving Certain Types of Nonlinear Fractional Two-Point Boundary Value Problems. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-20.
https://search.emarefa.net/detail/BIM-1167753
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1167753