Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method

DOI10.1007/s40840-015-0262-6zbMath1356.65230OpenAlexW2229527755MaRDI QIDQ503536

Selcuk Kutluay, N. Murat Yagmurlu, Yusuf Ucar

Publication date: 13 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0262-6

zbMATH Keywords

stabilitynumerical examplefinite element methodfinite difference methoderror boundquasi-linearizationcubic B-spline collocation methodmodified Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Numerical treatment of the modified Burgers' equation via backward differentiation formulas of orders two and three ⋮ An improvised collocation algorithm with specific end conditions for solving modified Burgers equation ⋮ Unnamed Item ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ Numerical treatment of Gray-Scott model with operator splitting method ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
• Numerical solutions of the modified Burgers equation by Petrov-Galerkin method
• A fourth-order numerical scheme for solving the modified Burgers equation
• Numerical solutions for convection-diffusion equation using El-Gendi method
• Numerical solution of the coupled viscous Burgers equation
• B-spline collocation methods for numerical solutions of the Burgers' equation
• A numerical study of the Burgers' equation
• A numerical solution of the Burgers' equation using septic B-splines
• Numerical treatment for the modified Burgers equation
• An explicit numerical scheme for the modified Burgers' equation
• Sextic B‐spline collocation method for the modified Burgers' equation
• Efficient accurate numerical treatment of the modified Burgers’ equation
• A table of solutions of the one-dimensional Burgers equation

This page was built for publication: Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method