CONTACT US

Department of Research and International Relations

71 Ngu Hanh Son, Danang City

+84-236-395-4243

khoahoc@due.edu.vn

  • Image
  • Image
  • Image

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.