Titlebook: Mathematical Methods in Engineering; Applications in Dyna Kenan Ta?,Dumitru Baleanu,J. A. Tenreiro Machado Book 2019 Springer International

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Kenan Ta?,Dumitru Baleanu,J. A. Tenreiro MachadoDiscusses novel insights into nonlinear dynamical systems and new theory and methodology applied to nonlinear physics, nonlinear engineering and nonlinear social science.Includes functional equations

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Nonlinear Systems and Complexityhttp://image.papertrans.cn/m/image/626260.jpg

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Allege

Finite Element Method for Schnakenberg Modeladaption. The numerical results are compared with the analytical solution by using the relative error calculation that measures the ratio of the difference in the two successive time levels to the previous time level to validate the accuracy and the reliability.

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A Transient Flow of a Non-Newtonian Fluid Modelled by a Mixed Time-Space Derivative: An Improved Introm the interface into the fluid bulk. The solutions provide straightforwardly the functional relationship of the penetration depth controlled by two similarity variables: related to the Newtonian flow behaviour and the Deborah number relevant to the elastic fluid performance.

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A New Numerical Approximation of Fractional Differentiation: Upwind Discretization for Riemann-Liouv2 the Riemann-Liouville fractional derivative. A detailed numerical analysis to prove the convergence and accuracy of the new numerical scheme is presented. The new approximation is then applied to solve numerically the advection equation. This new numerical scheme will be very useful to solving fractional differential equations.

政府

Certain Fractional Integrals and Solutions of Fractional Kinetic Equations Involving the Product of tion is discussed in terms of the solution of the fractional kinetic equation, and their graphical and numerical interpretation is presented in the present paper. The results obtained here are quite general in nature and capable of yielding a large number of known and (presumably) new results.

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事與愿違

New Solutions of the Functional Equations and Their Possible Application in Treatment of Complex Syssponding voltammograms (VAGs) in electrochemistry. In the frame of new approach, one can fit the VAGs with high accuracy and prove the wide applicability of the original solution found. In the concluding section, we discuss the basic results obtained in this paper and justify their wide applicability for solution of other nontrivial problems.