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The Cahn Hilliard equation involves fourth-order spatial derivatives.
Characterized by high-order spatial derivatives, this approach has in particular proven sensitivity to structural damage.
Spatial derivatives in the equation of motion are expressed with generalized differential quadrature method.
The approximation of spatial derivatives is obtained by the weighted least squares method.
For smoothed conditions, the intensity is proportional to the spatial derivatives of the energy density.
Spatial derivatives in the equilibrium equations are expressed with the generalized differential quadrature method.
The spatial derivatives of the displacement in the equation are calculated using finite differences.
A unified approach to approximating spatial derivatives in particle methods using integral operators is presented.
A meshless approach to approximating spatial derivatives on scattered point arrangements is presented in this paper.
The fifth-order accuracy of the spatial derivatives is ensured by a flux correction step.
This efficiency is due to appropriate decompositions of the elliptic operator involving the spatial derivatives.
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