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An ultrasound-based method was considered and the Boundary Elements and Finite Differences Methods were chosen to simulate two-layer slabs with different materials and interface textures.
The differential equations for transport problems involved in both models have been solved by finite differences methods.
This aspect is particularly critical for PDE systems as they are usually solved with spatial discretization techniques (e.g. finite element or the finite differences methods) and the result is a large scale dynamic system whose simulation may take from several seconds to hours.
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In this situation, finite difference methods can be applied.
Both the finite element and finite difference methods are a numerical method.
Sun and Wang [10] investigated linearized finite difference methods for solving the NLSE.
Finite element or finite difference methods are implemented in several flow analysis programs (e.g. Moldflow®).
We use a semi-implicit finite difference method in Matlab.
These equations are solved with using a finite differences method.
These equations are discretized, using the finite differences method.
The method of characteristics is used with the algorithm of the second order finite differences method.
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