Difference Scheme Method for Fractional Differential Equation Defined by Caputo Derivative
Journal Title: International Journal of Innovative Engineering Applications - Year 2018, Vol 2, Issue 2
Abstract
This study gives numerical solution of the fractional order partial differential equation defined by Caputo fractional derivative. Laplace transform method is used for the exact solution of this equation depend on intial-boundary value problem. The difference schemes are constructed for this equation. The stability of this difference schemes is proved. Error analysis is performed by comparing the exact solution with the approximate solution. The effectiveness of the method is shown from the error analysis table.
Authors and Affiliations
Mahmut Modanlı
Keywords
Related Articles
- EP ID EP468585
- DOI -
- Views 115
- Downloads 0
Kan Grupları ve Stres Düzeyi Arasındaki İlişkiler
Bu çalışmada, insanların kan grupları ile duygusal yapıları arasında nasıl bir bağ bulunduğunu belirlemek amacıyla stres değişkeni ele alınmış ve kan grupları ve stres düzeyi arasındaki ilişkilerin belirlenmesi hedeflenm...
Genital structures of two species of the genus Scymbalium Erichson, 1839 (Coleoptera, Staphylinidae, Paederinae)
Descriptions of the internal structures of the genitalia of Scymbalium anale (Nordmann, 1837) and S. persimile (Cameron, 1940) are presented in this paper. The structure of endophallus and genital structures of females o...
The some aphrophorid spittlebugs of East Anatolia (Hemiptera: Cercopoidea: Aphrophoridae)
The study was carried out to determine Aphrophoridae species in East Anatolia in 2018. Five species were collected by sweeping net on herbs. The collected specimens were identified as: Aphrophora salicina (Goeze, 1778),...
Difference Scheme Method for Fractional Differential Equation Defined by Caputo Derivative
This study gives numerical solution of the fractional order partial differential equation defined by Caputo fractional derivative. Laplace transform method is used for the exact solution of this equation depend on intial...
Contour Surfaces in the (2+1)-dimensional Sine-Poisson Model
This paper apply the modified exp(-Omega(xi))-expansion function method to the (2+1)-dimensional Sine-Poisson equation. Many complex soliton solutions are successfully constructed. 2D and 3D figures along with contour su...