Exact(19)
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.
A comparison between the application of the classical UIO based FDI scheme and the proposed nonlinear scheme shows the benefits of the approach provided in this paper.
Similar(41)
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.
These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function.
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.
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