TY - JOUR
T1 - A collocation-shooting method for solving fractional boundary value problems
AU - Al-Mdallal, Qasem M.
AU - Syam, Muhammed I.
AU - Anwar, M. N.
N1 - Funding Information:
The authors would like to express their appreciation for the valuable comments of the reviewers. The authors also would like to express their sincere appreciation to the United Arab Emirates University Research Affairs for the financial support of Grant nos. .
PY - 2010/12
Y1 - 2010/12
N2 - In this paper, we discuss the numerical solution of special class of fractional boundary value problems of order 2. The method of solution is based on a conjugating collocation and spline analysis combined with shooting method. A theoretical analysis about the existence and uniqueness of exact solution for the present class is proven. Two examples involving Bagley-Torvik equation subject to boundary conditions are also presented; numerical results illustrate the accuracy of the present scheme.
AB - In this paper, we discuss the numerical solution of special class of fractional boundary value problems of order 2. The method of solution is based on a conjugating collocation and spline analysis combined with shooting method. A theoretical analysis about the existence and uniqueness of exact solution for the present class is proven. Two examples involving Bagley-Torvik equation subject to boundary conditions are also presented; numerical results illustrate the accuracy of the present scheme.
KW - Bagley-Torvik equation
KW - Collocation method
KW - Shooting method
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U2 - 10.1016/j.cnsns.2010.01.020
DO - 10.1016/j.cnsns.2010.01.020
M3 - Article
AN - SCOPUS:77952705214
SN - 1007-5704
VL - 15
SP - 3814
EP - 3822
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 12
ER -