ISI Journal list "Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations" (LE Minh Hieu, 2017)
Title: Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
Authors: Piotr MATUS, Minh Hieu LE, Lubin VULKOV
Journal: Journal of Computational and Applied Mathematics, Vol. 310 (2017) - 186-199
Abstract:
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 are established. The obtained results are generalized for the case of non-uniform spatial grids. Numerical experiments confirming theoretical results are presented.