Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Hongyu Qin"'
Publikováno v:
Applied Numerical Mathematics. 156:50-62
In this paper, we develop an effective numerical method for solving the fractional sub-diffusion equation with Neumann boundary conditions. The time fractional derivative is approximated by the L1 scheme on graded meshes, the spatial discretization i
Publikováno v:
Journal of Scientific Computing. 89
The solution of the nonlinear subdiffusion equation has the initial layer and its initial energy may decay very fast. Therefore, it is important to investigate the evolution of the solution at the beginning. In the paper, a transformed L1 scheme is p
Publikováno v:
Journal of Scientific Computing. 87
Effective compact alternating direction implicit (ADI) schemes are developed for solving the semilinear parabolic problems with distributed delay. Solvability, convergence and stability of the proposed linearized schemes are studied. After that, the
Publikováno v:
Journal of Computational and Applied Mathematics. 400:113762
This paper focuses on the construction and analysis of the energy-conserving numerical schemes for the generalized nonlinear space fractional Schrodinger equations with wave operator. Combining the scalar auxiliary variable (SAV) approach, we present
Publikováno v:
Applied Mathematics and Computation. 412:126580
We develop a linearized compact alternating direction implicit (ADI) numerical method to solve the nonlinear delayed Schrodinger equation in two-dimensional space. By discrete energy estimate method, we analyse the convergence of the fully-discrete n
Publikováno v:
Applied Mathematics and Computation. 217:9173-9181
In this paper we introduce a local discontinuous Galerkin method to solve nonlinear reaction–diffusion dynamical systems with time delay. Stability and convergence of the schemes are obtained. Finally, numerical examples on two biologic models are