Found 40 Documents (Results 1–40)
Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. (English) Zbl 07899572
Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation. (English) Zbl 1538.65293
High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. (English) Zbl 07769130
Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation. (English) Zbl 1526.35295
Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg-Landau equation with Caputo derivative. (English) Zbl 1538.65215
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application. (English) Zbl 1512.65178
High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation. (English) Zbl 07676850
A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equations. (English) Zbl 07775892
Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation. (English) Zbl 07676899
A fourth-order difference scheme for the fractional nonlinear Schrödinger equation with wave operator. (English) Zbl 1490.65159
The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I). (English) Zbl 07526714
A fast compact difference method for two-dimensional nonlinear space-fractional complex Ginzburg-Landau equations. (English) Zbl 1513.65324
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 07516462
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations. (English) Zbl 1480.65229
Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation. (English) Zbl 1480.65303
Fast iterative solvers for the two-dimensional spatial fractional Ginzburg-Landau equations. (English) Zbl 1524.65435
High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations. (English) Zbl 1493.65128
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. (English) Zbl 1480.65230
Space-time finite element adaptive AMG for multi-term time fractional advection diffusion equations. (English) Zbl 1486.65184
Galerkin-Legendre spectral method for the nonlinear Ginzburg-Landau equation with the Riesz fractional derivative. (English) Zbl 1486.65192
A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model. (English) Zbl 1506.76144
A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems. (English) Zbl 1524.65497
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1462.65119
Reviewer: Temur A. Jangveladze (Tbilisi)
Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain. (English) Zbl 1453.65365
Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation. (English) Zbl 1447.65042
Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg-Landau equations. (English) Zbl 1444.65049
A three-level linearized difference scheme for nonlinear Schrödinger equation with absorbing boundary conditions. (English) Zbl 1442.65172
Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1442.65340
A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers’ equation. (English) Zbl 1449.65300
A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. (English) Zbl 1434.65117
A spline collocation method for a fractional mobile-immobile equation with variable coefficients. (English) Zbl 1438.65257
A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation. (English) Zbl 1485.65096
Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations. (English) Zbl 1443.65231
A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system. (English) Zbl 1427.65165
Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations. (English) Zbl 1418.65099
A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1432.65144
Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations. (English) Zbl 1414.65026
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