Journal of Applied Nonlinear Dynamics
Quadratic Spline Function for the Approximate Solution of an Intermediate SpaceFractional Advection Diffusion Equation
Journal of Applied Nonlinear Dynamics 6(2) (2017) 225236  DOI:10.5890/JAND.2017.06.007
E. A. AbdelRehi; M. G. Brikaa
Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt
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Abstract
The space fractional advection equation is a linear partial pseudodifferential equation with spatial fractional derivatives in space and is used to model transport at the earth surface. This equation arises when velocity variations are heavy tailed. Space fractional diffusion equation mathematically models the solutes that move through fractal media. In this paper, we are interested in finding the approximation solution of an intermediate fractional advection diffusion equation by using the quadratic spline function. The approximation solution is proved to be conditionally stable. Finally, some numerical examples are given based on this method.
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