Solving fractional partial differential equations with corrected Fourier series method

The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...

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書誌詳細
主要な著者: Zainal, Nor Hafizah, Kilicman, Adem
フォーマット: 論文
言語:English
出版事項: Hindawi Publishing Corporation 2014
オンライン・アクセス:http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf
http://psasir.upm.edu.my/id/eprint/35414/
http://www.hindawi.com/journals/aaa/2014/958931/abs/
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要約:The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions.