Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation

作者：

Highlights：

• Two finite difference methods are proposed for a generalized Fisher-KPP equation.

• These methods are capable of preserving the skew-symmetry of the equation.

• These methods preserve the positivity, boundedness and monotonicity of solutions.

• These methods are solvable.

• These methods are convergent.

摘要

•Two finite difference methods are proposed for a generalized Fisher-KPP equation.•These methods are capable of preserving the skew-symmetry of the equation.•These methods preserve the positivity, boundedness and monotonicity of solutions.•These methods are solvable.•These methods are convergent.

论文关键词：Generalized Fisher-KPP equation,Finite difference method,Skew-symmetry,Boundedness,Monotonicity,Convergence

论文评审过程：Available online 8 January 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2014.12.043