The second-order backward differential formula(BDF2)and the scalar auxiliary variable(SAV)approach are applied to con‐struct the linearly energy stable numerical scheme with the variable time steps for the epitaxial ...
supported by NSFC(Grant No.11871441);supported by NSF(Grant No.DMS-2012669).
In this paper,we consider the Cahn-Hilliard-Hele-Shaw(CHHS)system with the dynamic boundary conditions,in which both the bulk and surface energy parts play important roles.The scalar auxiliary variable approach is int...
supported by NSFC grant 12001248,the NSF of Jiangsu Province grant BK20201020;the NSF of Universities in Jiangsu Province of China grant 20KJB110013;the Hong Kong Polytechnic University grant 1-W00D;supported by Hong Kong Research Grants Council RFS grant RFS2021-5S03 and GRF grant 15302122,the Hong Kong Polytechnic University grant 1-9BCT;CAS AMSS-PolyU Joint Laboratory of Applied Mathematics;supported by the Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science under UIC 2022B1212010006.
In this paper,we propose and analyze high order energy dissipative time-stepping schemes for time-fractional molecular beam epitaxial(MBE)growth model on the nonuniform mesh.More precisely,(2−α)-order,secondorder and...
supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242);the Natural Science Foundation of Henan Province(No.222300420280);the Program for Scientific and Technological Innovation Talents in Universities of Henan Province(No.22HASTIT018).
The main objective of this paper is to present an efficient structure-preserving scheme,which is based on the idea of the scalar auxiliary variable approach,for solving the twodimensional space-fractional nonlinear Sc...
The development of digital platforms is transforming caregiver-patient interactions and the dissemination of knowledge.Obtaining information from the Internet has become a habit for many patients and must be considere...