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A numerical method was used to solve a system of diffusion equations of the model.
In this paper, the approach is extended to solve a system of PDEs.
To compute the resonance modes, it is necessary to solve a system of equations in the harmonic regime.
The method reduces solving the nonlinear ordinary differential equation to solve a system of nonlinear algebraic equations.
Weak coupling will be applied to solve a system of chemical transport and heat transfer to save computing resources.
When the computational domain is rectangular, Dirichlet, Neumann, periodic, and free-space boundary conditions can be imposed analytically without the need to solve a system of linear equations.
The penalty for the high order of accuracy is the need to solve a system of L×L equations where L is the order of the approximation.
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Minimizing the quadratic from the x-step is equivalent to solving a system of linear equations composed of structured matrices, all of which represent convolutions.
Predicting discharge in the compound open channel by analytical approach leads to solving a system of complex nonlinear equations.
Following the large strain deformation theory, the problem is reduced to solving a system of first-order ordinary differential equations in the plastic region.
The calculations amount to solving a system of Riccati differential equations for the effective elastic, dielectric, and piezoelectric tensors of the composites, where the volume fraction of the inclusions plays the role of independent variable.
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