Advances in Difference Equations · 2021 · 19 citations · 30 references
Natural SciencesMathematicsPhysicsComputational Fluid DynamicsDifferential EquationsFluid DynamicsNavier-stokes EquationsNumerical AlgorithmsNumerical ConvergenceNumerical Methods For Differential EquationsConvergence Rate AnalysisFractional Differential EquationsFractional Flow AnalysisNavier-stokes Solvers
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.
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Homotopy perturbation technique
Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.5K citations
Fractional Schrödinger equation in optics
Optics Letters · 2015 · 474 citations · Full text
Natural Sciences, Physics, Optics +13