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- W2996419301 abstract "We consider the difference schemes applied to a derivative nonlinear system of evolution equations. For the boundary-value problem with initial conditions
 ∂u/∂t = A ∂2u/∂x2 + B ∂u/∂x + f(x,u) + g(x,u) ∂u/∂x, (t,x) ∈ (0, T] x (0, 1),u(t,0) = u(t,1) = 0, t ∈ [0, T],u(0,x) = u(0)(x), x ∈ (0, 1)
 we use the Crank-Nicolson discretization. A is complex and B – real diagonal matrixes; u, f and g are complex vector-functions. The analysis shows that proposed schemes are uniquely solvable, convergent and stable in a grid norm W22 if all (diagonal) elements in Re(A) are positive. This is true without any restriction on the ratio of time and space grid steps." @default.
- W2996419301 created "2019-12-26" @default.
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- W2996419301 date "1998-12-21" @default.
- W2996419301 modified "2023-09-26" @default.
- W2996419301 title "Role of parabolic viscosity in numerical analysis of derivative nonlinear evolution equations" @default.
- W2996419301 cites W2016037919 @default.
- W2996419301 doi "https://doi.org/10.15388/na.1998.2.0.15288" @default.
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