On Green's function-based time stepping for semilinear initial-boundary value problems

DOI10.1016/j.cam.2016.04.036zbMath1382.65352OpenAlexW2403461170MaRDI QIDQ738953

Lennaert Van Veen

Publication date: 16 August 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.036

zbMATH Keywords

Kuramoto-Sivashinsky equationsemilinear initial-boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Semilinear parabolic equations (35K58) Quasilinear parabolic equations (35K59) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (1)

Hidden Symmetry in a Kuramoto–Sivashinsky Initial-Boundary Value Problem

Uses Software

• Matlab
• ATFM

Cites Work

• Navier-Stokes solver using Green's functions. I: Channel flow and plane Couette flow
• Spectral integration of linear boundary value problems
• Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation
• A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems
• Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations
• A higher-order finite element approach to the Kuramoto-Sivashinsky equation
• Dynamic Scaling of Growing Interfaces
• A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Spectral Methods in MATLAB
• Barycentric Lagrange Interpolation
• The numerical stability of barycentric Lagrange interpolation
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Pattern formation outside of equilibrium
• Is Gauss Quadrature Better than Clenshaw–Curtis?

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