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Gegenbauer spectral method for time-fractional convection-diffusion equations with variable coefficients
- Source :
- Mathematical Methods in the Applied Sciences. 38:3183-3194
- Publication Year :
- 2014
- Publisher :
- Wiley, 2014.
-
Abstract
- In this paper, we study the numerical solution to time-fractional partial differential equations with variable coefficients that involve temporal Caputo derivative. A spectral method based on Gegenbauer polynomials is taken for approximating the solution of the given time-fractional partial differential equation in time and a collocation method in space. The suggested method reduces this type of equation to the solution of a linear algebraic system. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.
Details
- ISSN :
- 01704214
- Volume :
- 38
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........9ec3f688945aee28de2e1aaff78579df