TY - JOUR
A2 - Zayed, A.
AU - Sirisubtawee, Sekson
AU - Kaewta, Supaporn
PY - 2017
DA - 2017/07/10
TI - New Modified Adomian Decomposition Recursion Schemes for Solving Certain Types of Nonlinear Fractional Two-Point Boundary Value Problems
SP - 5742965
VL - 2017
AB - 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.
SN - 0161-1712
UR - https://doi.org/10.1155/2017/5742965
DO - 10.1155/2017/5742965
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi
KW -
ER -