A collocation-shooting method for solving fractional boundary value problems

• Published in: Communications 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
• Language: English
• 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; 65

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...