Quadratic B-spline finite element method for numerical solution of the Burgers' equation
From MaRDI portal
Publication:2489335
DOI10.1016/j.amc.2005.05.020zbMath1090.65108OpenAlexW2030411069MaRDI QIDQ2489335
Publication date: 16 May 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.020
Galerkin methodnumerical examplesBurgers' equationmethod of discretization in timequadratic B-spline finite element method
KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (31)
Numerical solution of Burgers' equation by cubic Hermite collocation method ⋮ An approximation to the solution of time fractional modified Burgers' equation using extended cubic B-spline method ⋮ Traveling and shock wave simulations in a viscous Burgers' equation with periodic boundary conditions ⋮ Local radial basis function-finite difference based algorithms for singularly perturbed Burgers' model ⋮ A hybrid numerical scheme for the numerical solution of the Burgers' equation ⋮ High order semi-implicit weighted compact nonlinear scheme for viscous Burgers' equations ⋮ High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers' equations ⋮ On the analytical treatment for the fractional-order coupled partial differential equations via fixed point formulation and generalized fractional derivative operators ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ The Crank-Nicolson/Adams-Bashforth scheme for the Burgers equation with \(H^{2}\) and \(H^{1}\) initial data ⋮ Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronalactivity ⋮ A multi-domain Galerkin method with numerical integration for the Burgers equation ⋮ A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation ⋮ Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method ⋮ A multiresolution collocation method and its convergence for Burgers' type equations ⋮ On the long-time stability of a backward Euler scheme for Burgers' equation with polynomial force ⋮ A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation ⋮ An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation ⋮ Spline approximation method to solve an option pricing problem ⋮ A new efficient fourth order collocation scheme for solving Burgers' equation ⋮ Finite element method by using quartic B-splines ⋮ A stabilized discontinuous Galerkin method for the nonlinear advection-diffusion processes ⋮ Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation ⋮ A new efficient method for solving two-dimensional Burgers' equation ⋮ Appropriate stabilized Galerkin approaches for solving two-dimensional coupled Burgers' equations at high Reynolds numbers ⋮ Tailored finite point method for solving one-dimensional Burgers' equation ⋮ On numerical solution of Burgers' equation by homotopy analysis method ⋮ Exponential twice continuously differentiable B-spline algorithm for Burgers' equation ⋮ Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method ⋮ A difference scheme for Burgers equation in an unbounded domain ⋮ Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical solution of Burgers' equation by modified Adomian method
- The semi-approximate approach for solving Burgers' equation with high Reynolds number
- Numerical solution of Burgers' equation by quadratic B-spline finite elements
- A numerical solution of Burgers' equation
- A direct variational method applied to Burgers' equation
- A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
- On a quasi-linear parabolic equation occurring in aerodynamics
This page was built for publication: Quadratic B-spline finite element method for numerical solution of the Burgers' equation
