General Letters in Mathematics

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Optimal Follow Up Designs for Fractional Partial Differential Equations with Application to a Convection-Advection Model

Edward L. Boone , Ryad A. Ghanam , Albert H. Lee

As the mathematical properties of Fractional Partial Differential Equations are rapidly being developed, there is an increasing desire by researchers to employ these models in real world data oriented contexts. The main barrier to employing these models is the choice of the fractional order alpha. Recently, ...

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Solving first-order systems of linear hyperbolic partial differential equations using fast Fourier transform

Yousef Zahaykah , Mahmood Jwailes

In this paper, we address the exact solution of the general first-order systems of linear hyperbolic partial differential equations using the Fourier transformation technique. This transformation converts the system from the physical domain into a system of first-order ordinary differential equations ...

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