Numerical solution of two-dimensional nonlinear unsteady advection-diffusion-reaction equations with variable coefficients
DOI10.1155/2024/5541066MaRDI QIDQ6557167
Publication date: 18 June 2024
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
advection-diffusion-reaction equationssparse matrix computationblock tridiagonal systemCrank-Nicolson fnite diference method, Gauss-Seidel iterative method
Computational methods for sparse matrices (65F50) Numerical computation of solutions to systems of equations (65H10) Diffusion (76R50) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
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- Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method
- Computational examples of reaction-convection-diffusion equations solution under the influence of fluid flow: first example
- Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation
- Analytical solution of a spatially variable coefficient advection-diffusion equation in up to three dimensions
- An exponential integrator for finite volume discretization of a reaction-advection-diffusion equation
- Stabilized reduced order models for the advection-diffusion-reaction equation using operator splitting
- Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials
- Finite volume method for a time-dependent convection-diffusion-reaction equation with small parameters
- A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation
- A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation
- High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems
- A robust numerical scheme for the simulation of nonlinear convection–diffusion–reaction equation
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