IMPLICIT FINITE DIFFERENCE METHOD FOR THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION WITH THE MIXED BOUNDARY CONDITION
Journal Title: Silesian Journal of Pure and Applied Mathematics - Year 2016, Vol 6, Issue 1
Abstract
This paper presents the numerical solution of the space fractional heat conduction equation with Neumann and Robin boundary conditions. In described equation the Riemann-Liouville fractional derivative is used. Considered model is solved by using the implicit finite difference method. The paper also presents the numerical examples to illustrate the accuracy and stability of described method.
Authors and Affiliations
Rafał Brociek, Damian Słota
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IMPLICIT FINITE DIFFERENCE METHOD FOR THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION WITH THE MIXED BOUNDARY CONDITION
This paper presents the numerical solution of the space fractional heat conduction equation with Neumann and Robin boundary conditions. In described equation the Riemann-Liouville fractional derivative is used. Considere...
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