Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations
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Authors
Davood Rostamy
- Department of Mathematics, Imam Khomeini International University, Qazvin, I. R. Iran.
Ehsan Mottaghi
- Department of Mathematics, Imam Khomeini International University, Qazvin, I. R. Iran.
Abstract
By using maximum principle approach, the existence, uniqueness and stability of a coupled fractional
partial differential equations is studied. A new fractional characteristic finite difference scheme
is given for solving the coupled system. This method is based on shifted Grünwald approximation
and Diethelm's algorithm. We obtain the optimal convergence rate for this scheme and drive the
stability estimates. The results are justified by implementing an example of the fractional order
time and space dependent in concept of the complex Lévy motion. Also, the numerical results are
examined for disinfection and sterilization of tetanus.
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ISRP Style
Davood Rostamy, Ehsan Mottaghi, Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 193–204
AMA Style
Rostamy Davood, Mottaghi Ehsan, Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations. J Math Comput SCI-JM. (2016); 16(2):193–204
Chicago/Turabian Style
Rostamy, Davood, Mottaghi, Ehsan. "Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 193–204
Keywords
- Fractional partial differential equations
- maximum principle
- computational biomathematics
- stability
- convergence analysis
- numerical analysis.
MSC
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