Analytical and numerical solutions of different parabolic heat equations presented in the form of multi-term fractional differential equations

作者：Kazemi M; Erjaee G H^*

来源：Iranian Journal of Science and Technology Transaction A-Science, 2011, 35(A3): 185-192.

• Parabolic heat equations
• fractional differential equations
• finite difference methods

In this article, we study the analytical solutions of different parabolic heat equations with different boundary conditions in the form of multi-term fractional differential equations. Then we compare these analytical solutions with numerical finite difference methods. This comparison demonstrates the accuracy of the analytical and numerical methods presented here.

• 出版日期2011