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The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
Research Areafaculty-of-engineering
Year2013
Authors. M. ELKHOL
Journalnternational Journal of Mathematics and Mathematical Sciences
Volume1.316 kbyte
Month
ISSN
AbstractFractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields. Analytical solution of many applications, where the fractional di ff erential equations appear, cannot be established. Therefore, cubic polynomial spline- function-based method combined with shooting method is considered to find approximate solution for a class of fractional boundary value problems  FBVPs  . Convergence analysis of the method is considered. Some illustrative examples are presented.
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