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Cahn-Hilliard Equation: This equation models the time evolution of a scalar field $\phi$ which is a fourth-order partial differential equation that models phase ...

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Abstract: This article aims at proposing a multistage linear Gauss pseudospectral method (MS-LGPM) for solving the piecewise continuous nonlinear optimal control problem (OCP) with interior-point ...

ABSTRACT: We apply a Fourier pseudospectral algorithm to solve a 2D nonlinear paraxial envelope-equation of laser interactions in plasmas. In this algorithm, we first use the second order Strang ...