Applied Numerical Mathematics

Applied Numerical Mathematics

应用数值数学

  • 2区 中科院分区
  • Q1 JCR分区

高引用文章

文章名称 引用次数
Numerical analysis of Carreau fluid flow for generalized Fourier's and Fick's laws 24
Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems 22
A spectral framework for fractional variational problems based on fractional Jacobi functions 19
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Numerical analysis 18
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method 17
Regularized linear schemes for the molecular beam epitaxy model with slope selection 17
An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations 16
On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations 14
Structure-preserving numerical methods for the fractional Schrodinger equation 13
Comparison results for splitting iterations for solving multi-linear systems 13
The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation 12
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines 12
Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method 11
On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix 11
Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations 10
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order 10
Modified Chebyshev collocation method for pantograph-type differential equations 10
A modified conjugate gradient method for monotone nonlinear equations with convex constraints 10
An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations 9
Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation 8
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrodinger equation 8
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations 8
An effective numerical method for solving fractional pantograph differential equations using modification of hat functions 7
A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems 7
Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators 7
A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique 7
The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations 6
A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation 6
Fourth order wave equation with nonlinear strain and logarithmic nonlinearity 6
An efficient modified PRP-FR hybrid conjugate gradient method for solving unconstrained optimization problems 6
Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method 6
A time-space spectral tau method for the time fractional cable equation and its inverse problem 6
Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations 6
A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate 6
Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives 6
A novel kind of efficient symplectic scheme for Klein-Gordon-Schrodinger equation 6
Epsilon penalty method combined with an extension of the Ritz method for solving a class of fractional optimal control problems with mixed inequality constraints 6
A stabilized finite volume element method for a coupled Stokes-Darcy problem 6
Diagonally implicit Runge-Kutta methods for stiff ODEs 6
An analysis of the Grunwald-Letnikov scheme for initial-value problems with weakly singular solutions 6
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrodinger equation 6
A spectral method for stochastic fractional differential equations 5
Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations 5
Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations 5
Numerical approach for a class of distributed order time fractional partial differential equations 5
A linearized energy-conservative finite element method for the nonlinear Schrodinger equation with wave operator 5
An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets 5
A discrete divergence free weak Galerkin finite element method for the Stokes equations 5
A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems 5
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 5