A collocation-shooting method for solving fractional boundary value problems

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 solut...

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Published inCommunications in nonlinear science & numerical simulation Vol. 15; no. 12; pp. 3814 - 3822
Main Authors Al-Mdallal, Qasem M., Syam, Muhammed I., Anwar, M.N.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2010
Subjects
Bagley–Torvik equation
Boundary conditions
Boundary value problems
Collocation method
Computer simulation
Exact solutions
Mathematical analysis
Mathematical models
Shooting method
Splines
Uniqueness
Bagley–Torvik equation
Collocation method
Shooting method
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.01.020