A direct meshless local collocation method for solving stochastic Cahn–Hilliard–Cook and stochastic Swift–Hohenberg equations
In this study, the direct meshless local Petrov–Galerkin (DMLPG) method has been
employed to solve the stochastic Cahn–Hilliard–Cook and Swift–Hohenberg equations. First
of all, we discretize the temporal direction by a finite difference scheme. In order to obtain a
fully discrete scheme the direct meshless local collocation method is used to discretize the
spatial variable and the Euler–Maruyama method is used for time discretization. The used
method is a truly meshless technique. In order to illustrate the efficiency and accuracy of the …
employed to solve the stochastic Cahn–Hilliard–Cook and Swift–Hohenberg equations. First
of all, we discretize the temporal direction by a finite difference scheme. In order to obtain a
fully discrete scheme the direct meshless local collocation method is used to discretize the
spatial variable and the Euler–Maruyama method is used for time discretization. The used
method is a truly meshless technique. In order to illustrate the efficiency and accuracy of the …
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