A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media
DOI10.4208/aamm.OA-2020-0052zbMath1499.65577OpenAlexW3114584140MaRDI QIDQ5157060
Jiyou Tong, Ji Lin, Bin Zheng, Sergiy Y. Reutskiy
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0052
semi-analytical methodCrank-Nicolson schemeanisotropic mediaB-splineconvection-diffusion-reaction equation
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- Unnamed Item
- Unnamed Item
- High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems
- The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- A new investigation into regularization techniques for the method of fundamental solutions
- Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- Quartic and quintic B-spline methods for advection-diffusion equation
- Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method
- First, second, and third order finite-volume schemes for advection-diffusion
- The reproducing kernel particle method for two-dimensional unsteady heat conduction problems
- A practical guide to splines
- Galerkin-least square B-spline approach toward advection-diffusion equation
- Efficient numerical techniques for Burgers' equation
- A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations
- A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
- Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
- Redefined cubic B-splines collocation method for solving convection-diffusion equations
- A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media
- A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials
- Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
- High order approximations using spline-based differential quadrature method: implementation to the multi-dimensional PDEs
- Numerical methods for a nonlinear reaction-diffusion system modelling a batch culture of biofilm
- A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems
- A modified singular boundary method for three-dimensional high frequency acoustic wave problems
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
- The radial basis function finite collocation approach for capturing sharp fronts in time dependent advection problems
- Modeling groundwater flow and contaminant transport
- A moving least square reproducing polynomial meshless method
- Numerical solution of the reaction-advection-diffusion equation on the sphere
- Nonconforming spline collocation methods in irregular domains II: Error analysis
- A uniformly convergent alternating direction HODIE finite difference scheme for 2D time-dependent convection-diffusion problems
- Finite element procedures for time-dependent convection-diffusion-reaction systems
- A review of numerical methods for nonlinear partial differential equations
- A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method
- Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
- A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
- A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media
- Orthogonal spline collocation methods for the stream function‐vorticity formulation of the Navier–Stokes equations
- Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements
- Orthogonal spline collocation methods for partial differential equations
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs