%0 Journal Article %T ON THE NUMERICAL SOLUTION OF GENERALIZED KPP EQUATION
关于广义KPP方程的数值解 %A Wu Hongwei %A
吴宏伟 %J 计算数学 %D 2009 %I %X 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... %K generalized KPP equation %K nonlinear hyperbolic equation %K finite difference scheme %K convergence %K stability
广义KPP方程 %K 非线性双曲型方程 %K 有限差分格式 %K 收敛性 %K 稳定性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=BE25982D2C7F48010B605E9581DC391C&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=0B39A22176CE99FB&sid=205BE674D84A456D&eid=2DBBF45CC176713E&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=8