A Computational Method for the Time-Fractional Navier-Stokes Equation
Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 4
Abstract
In this study, Navier-Stokes equations with fractional derivate are solved according to time variable. To solve these equations, hybrid generalized differential transformation and finite difference methods are used in various subdomains. The aim of this hybridization is to combine the stability of the difference method and simplicity of the differential transformation method in use. It has been observed that the computational intensity of complex calculations is reduced and also discontinuity due to initial conditions can be overcome when the size increased in the study. The convergence of the time-dependent series solution is ensured by multi-time-stepping method. This study has shown that the hybridization method is effective, reliable and easy to apply for solving such type of equations. 2010 Mathematics Subject Classification: 35Q30, 35R11, 65M06, 65N55.
Authors and Affiliations
İnci ÇİLİNGİR SÜNGÜ, Hüseyin DEMİR
Keywords
Related Articles
- EP ID EP488429
- DOI 10.17776/csj.384509
- Views 66
- Downloads 0
Investigation of Structural, Optical and Photovoltaic Properties of Sb2S3 Thin Films
Sb2S3 thin films were prepared on amorphous glass substrates by chemical bath deposition (CBD) at room temperature. The Sb2S3 thin films were characterized by x-ray diffraction (XRD), Raman spectroscopy, scanning electr...
Structural, electrical, thermal, mechanical properties and micro-hardness in Sn-based Sn-Pb-Al ternary alloys
The structural, electrical, thermal, mechanical properties and micro-hardness of five different samples of Sn-Pb-Al ternary alloys (Sn-[x] wt. % Pb-10 wt. % Al) (x=40, 30, 20 and 10) with constant Al concentrations, and...
A Computational Study of 1-substituted methyl 9-methyl-9H-pyrido[3,4-b]indole-3-carboxylate: Quantum Chemical Descriptors, FMO and NBO Analysis
This work dealt with the investigation of the methyl 9H-pyrido[3,4-b]indole-3-carboxylate (Basic compound) and its C1-substituted derivatives to search for the best substituent group that enhances the chemical reactivity...
Design of Reversed Phase Chromatography (RPC) Column Packing Material for Protein Separation: Part 1- Synthesis and Characterization
In the first part of the two-part study, the column packed materials in the form of monodisperse and porous particles were synthesized with regard to test their column performances in Reverse Phase Chromatography (RPC)....
Predicting the Shear Strength of Fiber Reinforced Concrete Corbels Via Support Vector Machines
Precast corbels are commonly preferred structural members in industrial buildings. In this study, a novel application of support vector machines (SVM) is employed for the prediction of ultimate shear strength of fiber re...