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In NEURON, each neurite is discretized into a user-specified number of compartments of equal length, using the central difference method.
Here, we denote by ∇ the gradient of J ( u ) processed using the central difference method, such that the derivative for any point of index u ∉ {1, N s } is processed as ∇ ( J ( u ) ) = 1 2 ( J ( u + 1 ) - J ( u - 1 ) ).
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Triangles represent the mesh used for simulation, with green triangles representing the border cells used in the central difference method.
The derivatives are approximated using the central difference formula.
First order derivatives: (a) using the forward difference, (b) using the backward difference, (c) using the central difference.
The explicit finite element method for transient dynamics of linear elasticity is formulated by using Galerkin method for space and the central difference method for time.
Additionally, the central difference method used in DEM requires very fine elements, which significantly jeopardizes the calculation efficiency.
This paper describes a known approach, sometimes referred to as the central difference method, which can be used for this purpose.
The dispersion part is solved by the central difference method and the propagation part is solved implicitly by using the Gauss Seidel iteration method.
The Extended High-order Sandwich Panel Theory (EHSAPT -based finitEHSAPT -basedused to finiteatelementquatisns of motion, and the time response is obtained by the central difference method.
The central difference method maintains the same number of elements in vec1 as were in vec and is a more accurate method than the Euler method.
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