Numerical approach for solving time fractional diffusion equation

GÜLSU, MUSTAFA; KOÇ, Dilara Altan

Numerical approach for solving time fractional diffusion equation

Dilara Altan KOÇ, (Department Mathematics, Mugla Sitki Kocman University, Turkey)

Mustafa GÜLSU (Department Mathematics, Mugla Sitki Kocman University, Turkey)

An International Journal of Optimization and Control: Theories & Applications (IJOCTA)

3 2

Yıl: 2017 Cilt: 7 Sayı: 3 Sayfa Aralığı: 281 - 287 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Numerical approach for solving time fractional diffusion equation

Öz:

In this article one of the fractional partial differential equations was solved byfinite difference scheme based on five point and three point central spacemethod with discretization in time. We use between the Caputo and theRiemann-Liouville derivative definition and the Grünwald-Letnikov operator forthe fractional calculus. The stability analysis of this scheme is examined by usingvon-Neumann method. A comparison between exact solutions and numericalsolutions is made. Some figures and tables are included.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	KOÇ D, GÜLSU M (2017). Numerical approach for solving time fractional diffusion equation. , 281 - 287.
Chicago	KOÇ Dilara Altan,GÜLSU MUSTAFA Numerical approach for solving time fractional diffusion equation. (2017): 281 - 287.
MLA	KOÇ Dilara Altan,GÜLSU MUSTAFA Numerical approach for solving time fractional diffusion equation. , 2017, ss.281 - 287.
AMA	KOÇ D,GÜLSU M Numerical approach for solving time fractional diffusion equation. . 2017; 281 - 287.
Vancouver	KOÇ D,GÜLSU M Numerical approach for solving time fractional diffusion equation. . 2017; 281 - 287.
IEEE	KOÇ D,GÜLSU M "Numerical approach for solving time fractional diffusion equation." , ss.281 - 287, 2017.
ISNAD	KOÇ, Dilara Altan - GÜLSU, MUSTAFA. "Numerical approach for solving time fractional diffusion equation". (2017), 281-287.

APA	KOÇ D, GÜLSU M (2017). Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 7(3), 281 - 287.
Chicago	KOÇ Dilara Altan,GÜLSU MUSTAFA Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 7, no.3 (2017): 281 - 287.
MLA	KOÇ Dilara Altan,GÜLSU MUSTAFA Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), vol.7, no.3, 2017, ss.281 - 287.
AMA	KOÇ D,GÜLSU M Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2017; 7(3): 281 - 287.
Vancouver	KOÇ D,GÜLSU M Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2017; 7(3): 281 - 287.
IEEE	KOÇ D,GÜLSU M "Numerical approach for solving time fractional diffusion equation." An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 7, ss.281 - 287, 2017.
ISNAD	KOÇ, Dilara Altan - GÜLSU, MUSTAFA. "Numerical approach for solving time fractional diffusion equation". An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 7/3 (2017), 281-287.