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计算数学  2009 

ON THE NUMERICAL SOLUTION OF GENERALIZED KPP EQUATION
关于广义KPP方程的数值解

Keywords: generalized KPP equation,nonlinear hyperbolic equation,finite difference scheme,convergence,stability
广义KPP方程
,非线性双曲型方程,有限差分格式,收敛性,稳定性

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Abstract:

The generalized KPP(Kolmogorov-Petrovskii-Piskunov) equation is an integro-differential equation.To investigate numerical solution for this problem,we first change the integro-differential equation to a form of nonlinear hyperbolic equation.Then a difference scheme is constructed to approximate initial boundary-value problem of hyperbolic equation. Existence and uniqueness are obtained for the difference scheme.Convergence and unconditional stability with respect to initial value are also discussed by using...

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