Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations

作者：Matus Piotr^*; Le Minh Hieu; Vulkov Lubin G

来源：Journal of Computational and Applied Mathematics, 2017, 310: 186-199.

DOI：10.1016/j.cam.2016.04.006

• Maximum principle
• Monotone difference scheme
• Quasilinear parabolic equation
• Gamma equation

On the base of the maximum principles two-sided estimates for solutions of difference schemes are proved without any assumption of sign-definiteness of input data. Second order unconditional monotone difference scheme for quasilinear convection diffusion equation on uniform grids is constructed. A priori estimates of the difference solution on uniform norm C are established. The obtained results are generalized for the case of non-uniform spatial grids. Numerical experiments confirming theoretical results are presented.

• 出版日期2017-1-15