Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation

Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction

(2019) Dongfang Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation

(2019) Meng Li et al.   APPLIED NUMERICAL MATHEMATICS

Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source

(2019) Jianxiong Cao et al.   APPLIED MATHEMATICS LETTERS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian

(2018) Meng Li et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

(2016) Maohua Ran et al.   Communications in Nonlinear Science and Numerical Simulation

A compact difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates

(2016) Zhibo Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data

(2016) ChunYan Huang et al.   Science China-Mathematics

The SCBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems

(2015) Xian-Ming Gu et al.   COMPUTER PHYSICS COMMUNICATIONS

A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems

(2015) Xian-Ming Gu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

(2015) Weiping Bu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

(2015) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On existence and scattering theory for the Klein–Gordon–Schrödinger system in an infinite $$L^{2}$$ L 2 -norm setting

(2014) Carlos Banquet et al.   ANNALI DI MATEMATICA PURA ED APPLICATA

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

(2014) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation

(2014) Pengde Wang et al.   NUMERICAL ALGORITHMS

An efficient approximate method for solving linear fractional Klein–Gordon equation based on the generalized Laguerre polynomials

(2013) M. M. Khader   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Optimal point-wise error estimate of a compact difference scheme for the Klein–Gordon–Schrödinger equation

(2013) Tingchun Wang   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Ground state solutions for nonlinear fractional Schrödinger equations in RN

(2013) Simone Secchi   JOURNAL OF MATHEMATICAL PHYSICS

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the L∞ convergence of a difference scheme for coupled nonlinear Schrödinger equations

(2010) Zhi-zhong Sun et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS