A fifth order accurate geometric mesh finite difference method for general nonlinear two point boundary value problems
作者：
Highlights：
• A high order variable mesh method using finite difference approximations.
• The variable mesh method shows superiority over uniform mesh method.
• The order and accuracy of scheme has superiority over existing methods.
• Applicable to the problems with significant first order derivatives.
• Computationally fast algorithm and applicable to the boundary layer problems.
摘要
Highlights•A high order variable mesh method using finite difference approximations.•The variable mesh method shows superiority over uniform mesh method.•The order and accuracy of scheme has superiority over existing methods.•Applicable to the problems with significant first order derivatives.•Computationally fast algorithm and applicable to the boundary layer problems.
论文关键词：Boundary value problems,Geometric mesh,Finite difference method,Convection–diffusion equation,Newton’s method,Maximum absolute errors
论文评审过程：Available online 9 April 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.02.069
