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A two-stage multi-step numerical scheme for mixed convective Williamson nanofluid flow over flat and oscillatory sheets.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, v. 38, n. 22, p. 1, doi. 10.1142/S0217979224502989
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An efficient high‐order two‐level explicit/implicit numerical scheme for two‐dimensional time fractional mobile/immobile advection‐dispersion model.
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- International Journal for Numerical Methods in Fluids, 2024, v. 96, n. 8, p. 1305, doi. 10.1002/fld.5296
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Modelling spatio-temporal interactions between second messengers Ca2+ and cAMP in a pancreatic β-cell.
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- Journal of Bioenergetics & Biomembranes, 2024, v. 56, n. 4, p. 389, doi. 10.1007/s10863-024-10021-2
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Parameter‐robust higher‐order time‐accurate computational method for singularly perturbed time‐dependent semilinear convection‐diffusion PDEs with discontinuous data.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 11, p. 9249, doi. 10.1002/mma.10070
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Hamiltonian conserved Crank-Nicolson schemes for a semi-linear wave equation based on the exponential scalar auxiliary variables approach.
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- Electronic Research Archive, 2024, v. 32, n. 7, p. 1, doi. 10.3934/era.2024200
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- Article
二阶非线性抛物方程的B样条有限元法.
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- Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban), 2024, v. 62, n. 4, p. 878, doi. 10.13413/j.cnki.jdxblxb.2023516
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Fully decoupled unconditionally stable Crank–Nicolson leapfrog numerical methods for the Cahn–Hilliard–Darcy system.
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- Numerical Methods for Partial Differential Equations, 2024, v. 40, n. 4, p. 1, doi. 10.1002/num.23087
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Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers' Equation.
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- Axioms (2075-1680), 2024, v. 13, n. 6, p. 343, doi. 10.3390/axioms13060343
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Simultaneous identification of the solely time-dependent potential and source control terms from known moisture moments.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 7, p. 5532, doi. 10.1002/mma.9877
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Discrete Dynamic System Modeling for Simulated Moving Bed Processes.
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- Mathematics (2227-7390), 2024, v. 12, n. 10, p. 1520, doi. 10.3390/math12101520
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Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2024, v. 58, n. 3, p. 881, doi. 10.1051/m2an/2024017
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Efficient and accurate temporal second‐order numerical methods for multidimensional multi‐term integrodifferential equations with the Abel kernels.
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- Numerical Methods for Partial Differential Equations, 2024, v. 40, n. 3, p. 1, doi. 10.1002/num.23082
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Fractional model for blood flow under MHD influence in porous and non-porous media.
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- International Journal of Optimization & Control: Theories & Applications, 2024, v. 14, n. 2, p. 156, doi. 10.11121/ijocta.1497
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Numerical analysis of an uncoupled and linearized compact difference scheme with energy dissipation property for the generalized dissipative symmetric regularized long‐wave equations.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 6, p. 4550, doi. 10.1002/mma.9827
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Numerical analysis of temporal second‐order accurate scheme for the abstract Volterra integrodifferential equation.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 4, p. 2966, doi. 10.1002/mma.9788
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Iterated Crank–Nicolson Method for Peridynamic Models.
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- Dynamics (2673-8716), 2024, v. 4, n. 1, p. 192, doi. 10.3390/dynamics4010011
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An efficient two-grid high-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2024, v. 58, n. 2, p. 421, doi. 10.1051/m2an/2024008
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Mathematical Modeling of Transient and Steady-State Groundwater Flow in a Confined Aquifer.
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- Journal of Applied Sciences & Environmental Management, 2024, v. 28, n. 3, p. 741, doi. 10.4314/jasem.v28i3.15
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抛物型最优控制问题的全离散 Crank-Nicolson 有限元法.
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- Journal of Xinjiang University (Natural Science Edition), 2024, v. 41, n. 2, p. 196, doi. 10.13568/j.cnki.651094.651316.2023.05.18.0001
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The Second-Order Numerical Approximation for a Modified Ericksen–Leslie Model.
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- Mathematics (2227-7390), 2024, v. 12, n. 5, p. 672, doi. 10.3390/math12050672
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Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 2, p. 634, doi. 10.1002/mma.9674
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A variable step‐size extrapolated Crank–Nicolson method for option pricing under stochastic volatility model with jump.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 2, p. 762, doi. 10.1002/mma.9682
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Finite Difference Modeling of Time Fractal Impact on Unsteady Magneto-hydrodynamic Darcy–Forchheimer Flow in Non-Newtonian Nanofluids with the q -Derivative.
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- Fractal & Fractional, 2024, v. 8, n. 1, p. 8, doi. 10.3390/fractalfract8010008
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A priori error estimates of two monolithic schemes for Biot's consolidation model.
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- Numerical Methods for Partial Differential Equations, 2024, v. 40, n. 1, p. 1, doi. 10.1002/num.23059
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A comparison of Rosenbrock–Wanner and Crank–Nicolson time integrators for atmospheric modelling.
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- Quarterly Journal of the Royal Meteorological Society, 2024, v. 150, n. 758, p. 462, doi. 10.1002/qj.4608
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A Numerical Approach for Diffusion-Dominant Two-Parameter Singularly Perturbed Delay Parabolic Differential Equations.
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- International Journal of Mathematics & Mathematical Sciences, 2023, p. 1, doi. 10.1155/2023/6620669
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- Article
Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method.
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- Computational Mathematics & Mathematical Physics, 2023, v. 63, n. 12, p. 2474, doi. 10.1134/S0965542523120096
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Existence and stability of singular patterns in a fractional Ginzburg–Landau equation with a mean field.
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- European Journal of Applied Mathematics, 2023, v. 34, n. 6, p. 1242, doi. 10.1017/S0956792522000286
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A Reduced Order Local Discontinuous Galerkin Method for the Variable Coefficients Diffusion Equations.
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- IAENG International Journal of Applied Mathematics, 2023, v. 53, n. 4, p. 1370
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Glioma Concentration Growth Simulation Using The Crank Nicolson Method.
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- IAENG International Journal of Applied Mathematics, 2023, v. 53, n. 4, p. 1607
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Numerical simulation of calcium dynamics dependent ATP degradation, IP<sub>3</sub> and NADH production due to obesity in a hepatocyte cell.
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- Journal of Biological Physics, 2023, v. 49, n. 4, p. 415, doi. 10.1007/s10867-023-09639-x
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Fluid–rigid body interaction in a compressible electrically conducting fluid.
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- Mathematische Nachrichten, 2023, v. 296, n. 12, p. 5513, doi. 10.1002/mana.202200345
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A two‐way coupling 2D‐3D hybrid finite element numerical model using overlapping method for tsunami simulation.
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- International Journal for Numerical Methods in Fluids, 2023, v. 95, n. 11, p. 1732, doi. 10.1002/fld.5220
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A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system.
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- Mathematical Models & Methods in Applied Sciences, 2023, v. 33, n. 12, p. 2587, doi. 10.1142/S0218202523500562
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- Article
A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation.
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- International Journal of Computational Methods, 2023, v. 20, n. 8, p. 1, doi. 10.1142/S0219876222500645
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A sixth-order finite difference method for solving the generalized Burgers-Fisher and generalized Burgers-Huxley equations.
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- ScienceAsia, 2023, v. 49, n. 5, p. 693, doi. 10.2306/scienceasia1513-1874.2023.048
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Decoupled Crank–Nicolson LeapFrog method for the evolution Boussinesq equations.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 14, p. 15107, doi. 10.1002/mma.9364
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A Cubic B-Spline Collocation Method for Barrier Options under the CEV Model.
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- Mathematics (2227-7390), 2023, v. 11, n. 18, p. 3979, doi. 10.3390/math11183979
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A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method.
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- Advances in Mathematical Physics, 2023, p. 1, doi. 10.1155/2023/6505227
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- Article
黏性Cahn-Hilliard方程的二阶BDF数值格式.
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- Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban), 2023, v. 61, n. 5, p. 1063, doi. 10.13413/j.cnki.jdxblxb.2022453
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A numerical experiment on the stability and convergence characteristics of some splitting mixed-finite element methods for solving the incompressible Navier-Stokes equations.
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- Journal of Mechanical Science & Technology, 2023, v. 37, n. 9, p. 4729, doi. 10.1007/s12206-023-0827-5
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The Implicit Numerical Method for the Radial Anomalous Subdiffusion Equation.
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- Symmetry (20738994), 2023, v. 15, n. 9, p. 1642, doi. 10.3390/sym15091642
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A nonlinear stochastic finite element method for solving elastoplastic problems with uncertainties.
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- International Journal for Numerical Methods in Engineering, 2023, v. 124, n. 16, p. 3411, doi. 10.1002/nme.7253
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A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation.
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- Journal of Inequalities & Applications, 2023, v. 2023, n. 1, p. 1, doi. 10.1186/s13660-023-03012-1
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Numerical Finite Difference Scheme for a Two-Dimensional Time-Fractional Semilinear Diffusion Equation.
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- Mathematical Modelling of Engineering Problems, 2023, v. 10, n. 4, p. 1441, doi. 10.18280/mmep.100440
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Approximate Solution of Fourth Order Parabolic Equation using Splines.
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- Palestine Journal of Mathematics, 2023, v. 12, p. 119
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A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model.
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- Computational Methods in Applied Mathematics, 2023, v. 23, n. 3, p. 647, doi. 10.1515/cmam-2022-0201
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N UMERICAL SCHEMES FOR BLACK-SCHOLES EQUATION WITH ERROR DYNAMICS.
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- Electronic Journal of Mathematical Analysis & Applications, 2023, v. 11, n. 2, p. 1, doi. 10.21608/ejmaa.2023.216295.1037
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A new base of wind turbine noise measurement data and its application for a systematic validation of sound propagation models.
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- Wind Energy Science, 2023, v. 8, n. 4, p. 639, doi. 10.5194/wes-8-639-2023
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The controlled fission, fusion and collision behavior of two species Bose–Einstein condensates with an optical potential.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2023, v. 78, n. 7, p. 589, doi. 10.1515/zna-2023-0020
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- Article