The numerical study of advection-diffusion equations by the fourth-order cubic B-spline collocation method
DOI10.1007/s40096-020-00352-7zbMath1473.65240OpenAlexW3087816365MaRDI QIDQ2041157
Rajni Rohila, Ramesh Chand Mittal
Publication date: 15 July 2021
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40096-020-00352-7
collocation methodCrank-Nicolson methodadvection-diffusion equationGauss elimination methodB-spline functions
Numerical computation using splines (65D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spline approximation (41A15)
Related Items (2)
Cites Work
- Cubic B-spline collocation method for one-dimensional heat and advection-diffusion equations
- A fourth-order method of the convection-diffusion equations with Neumann boundary conditions
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Quartic and quintic B-spline methods for advection-diffusion equation
- Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants
- High-order compact boundary value method for the solution of unsteady convection-diffusion problems
- A second-order space and time nodal method for the one-dimensional convection-diffusion equation
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- Numerical solution of the three-dimensional advection--diffusion equation.
- Extended one-step time-integration schemes for convection-diffusion equations
- Redefined cubic B-splines collocation method for solving convection-diffusion equations
- The numerical solution of advection-diffusion problems using new cubic trigonometric B-splines approach
- A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations
- Fourth-order schemes of exponential type for singularly perturbed parabolic partial differential equations
- On the finite difference approximation to the convection-diffusion equation
- Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation
- Cubic B‐spline differential quadrature methods for the advection‐diffusion equation
- Solution of the advection-diffusion equation using the spline function and finite elements
- Error Bounds for Interpolating Cubic Splines Under Various End Conditions
- Taylor‐Galerkin B‐spline finite element method for the one‐dimensional advection‐diffusion equation
- Taylor‐Galerkin method for advection‐diffusion equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The numerical study of advection-diffusion equations by the fourth-order cubic B-spline collocation method
