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Thus the equation system is non-linear.
The equation system is building forward model.
Iterative algorithms are used to solve the algebraic equation system.
The boundary condition of the equation system is the coupling of the flow from shale matrix with fracture flow.
Numerical solution of the Nernst-Planck and poisson equation system with applications to membrane electrochemistry and solid state physics.
These relations result in an over-determined linear equation system.
This chapter discusses several time-domain representations for digital filters, including the difference equation, system diagram, and impulse response.
However, as the PML was originally designed for the first-order equation system, it cannot be applied to the second-order equation system directly.
This structure can be exploited by reformulating this linear equation system in the frequency domain and inverted efficiently by point-wise division (see Supplemental Methods for a derivation).
The library provides functionality for the pre-processing of an equation system and its solution.
Resulting partial differential equation system was solved using finite difference methods and matrix manipulation techniques.
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