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New Approximate Analytical Technique for the Solution of Time Fractional Fluid Flow Models

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Date

2021

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Publisher

Springer

Open Access Color

GOLD

Green Open Access

No

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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.

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Q1

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OpenCitations Citation Count
14

Source

Advances in Difference Equations

Volume

2021

Issue

1

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CrossRef : 10

Scopus : 22

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Mendeley Readers : 4

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