Exact(18)
Thus the nonlinear schemes proposed in this paper are always well defined.
This system may also be a promising candidate for realizing electromagnetically induced transparency-based nonlinear schemes [5 8].
This solution has been considered owing to the well known robustness and simplicity characteristics of these nonlinear schemes.
The weighted technique is introduced in the compact high-order nonlinear schemes (CNS) and three fourth- and fifth-order weighted compact nonlinear schemes (WCNS) are developed in this paper.
These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
A fruitful method for the treatment of these nonlinear schemes is the method of upper and lower solutions and its associated monotone iterations [5].
Similar(42)
We construct two schemes to (4.1)–(4.3) as nonlinear scheme (2.2) and linearized scheme (3.1).
Moreover, the positivity of initial profiles is preserved in the practice by the nonlinear scheme proposed.
A simple nonlinear scheme for iterative solution of nonlinear convection diffusion equation is described.
Stability analysis of a linear scheme and convergence analysis of a general nonlinear scheme are also discussed in this paper.
This paper proposes a new kind of nonlinear weights to improve accuracy and resolution of high-order weighted compact nonlinear scheme.
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