The stability and convergence of time-stepping/spectral methods with asymptotic behaviour for the Rosenau–Burgers equation

DOI10.1080/00036811.2018.1553034zbMath1447.65023OpenAlexW2904055245WikidataQ128723300 ScholiaQ128723300MaRDI QIDQ5120797

Chuanju Xu, Mohammad Tanzil Hasan

Publication date: 16 September 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1553034

zbMATH Keywords

stabilityconvergencefinite difference/spectral approximationsRosenau-Burgers

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new finite difference scheme for the Rosenau-Burgers equation
• Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
• Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
• Finite difference discretization of the Kuramoto-Sivashinsky equation
• A better asymptotic profile of Rosenau-Burgers equation
• Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary
• Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
• Convergence to diffusion waves of the solutions for benjamin-bona-mahony-burgers equations
• Long-time behaviour of solution for rosenau-burgers equation(II)
• Finite Difference Approximate Solutions for
• A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
• Numerical analysis of pseudospectral methods for the Kuramoto-Sivashinsky equation
• Numerical methods for the rosenau equation

This page was built for publication: The stability and convergence of time-stepping/spectral methods with asymptotic behaviour for the Rosenau–Burgers equation