A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions

A second-order linearized difference sch

A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

✍ Ling-yun Zhang; Zhi-zhong Sun 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract A linearized three‐level difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and second‐order convergent in __L__~__