New Approximate Analytical Technique for the Solution of Time Fractional Fluid Flow Models
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
Abstract
In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier-Stokes model. The approximate analytical solution is obtained within Liouville-Caputo operator. The analytical strategy generates the series form solution, with less computational work and fast convergence rate to the exact solutions. The obtained results have shown a simple and useful procedure to analyze complex problems in related areas of science and technology.
Description
Khan, Hassan/0000-0001-6417-1181; Bin Jebreen, Haifa/0000-0001-9394-7305
Keywords
Approximate Analytical Method, Analytical Solution, Caputo Operator, Riemann-Liouville, Navier-Stokes Model, Navier–Stokes Model, Riemann–liouville, Economics, FOS: Mechanical engineering, Biochemistry, Gene, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Engineering, Computer security, Series (stratigraphy), Numerical Analysis, Applied Mathematics, Navier–Stokes model, Mathematical optimization, Partial differential equation, Derivative-Free Methods, Rate of convergence, Mechanical engineering, FOS: Philosophy, ethics and religion, Chemistry, Modeling and Simulation, Physical Sciences, Convergence (economics), Flow (mathematics), Caputo operator, Geometry, Epistemology, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Riemann–Liouville, QA1-939, FOS: Mathematics, Approximate analytical method, Work (physics), Key (lock), Biology, Anomalous Diffusion Modeling and Analysis, Economic growth, Analytical solution, Paleontology, Applied mathematics, Computer science, Philosophy, Exact solutions in general relativity, Simple (philosophy), Repressor, Transcription factor, Mathematics, Ordinary differential equation, Theoretical approximation in context of PDEs, Navier-Stokes model, Riemann-Liouville, Fractional derivatives and integrals, Fractional partial differential equations, analytical solution, Navier-Stokes equations, approximate analytical method
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0103 physical sciences
Citation
Farooq, Umar...et al. (2021). "New approximate analytical technique for the solution of time fractional fluid flow models", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
Scopus Q

OpenCitations Citation Count
14
Source
Advances in Difference Equations
Volume
2021
Issue
1
Start Page
End Page
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Citations
CrossRef : 10
Scopus : 22
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Mendeley Readers : 4
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