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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Zainal, Nor Hafizah, Kilicman, Adem
التنسيق: مقال
اللغة:English
منشور في: Hindawi Publishing Corporation 2014
الوصول للمادة أونلاين: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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الوصف
الملخص: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.