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Original Articles

New local discontinuous Galerkin method for a fractional time diffusion wave equation

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Pages 1818-1838 | Received 07 Jan 2018, Accepted 06 Oct 2018, Published online: 22 Oct 2018
 

ABSTRACT

This paper is devoted to the study of a new discontinuous finite element idea for the time fractional diffusion-wave equation defined in bounded domain. The time fractional derivatives are described in the Caputo's sense. By applying the sine transform on the time fractional diffusion-wave equation, we make the equation depend on time. Then we use definition of Caputo's derivative and by defining l-degree discontinuous finite element with interpolated coefficients we solve the mentioned equation. Error estimate, existence and uniqueness are proved. Finally, the theoretical results are tested by some numerical examples.

MATHEMATICS SUBJECT CLASSIFICATION 2010:

Acknowledgements

The authors thank anonymous referee and editor whose constructive comments improved the quality of this paper and finally it is a pleasure to acknowledge the skilful editorial assistance of this journal, Suguna Selvakumar.

Disclosure statement

No potential conflict of interest was reported by the authors.

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