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 in | Communications in nonlinear science & numerical simulation Vol. 15; no. 12; pp. 3814 - 3822 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.12.2010
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Al-Mdallal, Qasem M. Syam, Muhammed I. Anwar, M.N. |
| Author_xml | – sequence: 1 givenname: Qasem M. surname: Al-Mdallal fullname: Al-Mdallal, Qasem M. email: q.almdallal@uaeu.ac.ae – sequence: 2 givenname: Muhammed I. surname: Syam fullname: Syam, Muhammed I. email: m.syam@uaeu.ac.ae – sequence: 3 givenname: M.N. surname: Anwar fullname: Anwar, M.N. email: M.Anwar@uaeu.ac.ae |
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| Keywords | Bagley–Torvik equation Collocation method Shooting method 65 |
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| Snippet | 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... |
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| SubjectTerms | Bagley–Torvik equation Boundary conditions Boundary value problems Collocation method Computer simulation Exact solutions Mathematical analysis Mathematical models Shooting method Splines Uniqueness |
| Title | A collocation-shooting method for solving fractional boundary value problems |
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