Stability and convergence of difference scheme for nonlinear evolutionary type equations

DOI10.1007/S12190-008-0044-5zbMath1157.65049OpenAlexW1989100954MaRDI QIDQ949320

Khaled Omrani, Faycal Abidi, Mekki Ayadi

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0044-5

zbMATH Keywords

stabilityconvergenceinitial-boundary value problemnonlinear systemnumerical experimentsCrank-Nicolson schemenonlinear evolution equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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)

Related Items (3)

An exponential spline solution of nonlinear Schrödinger equations with constant and variable coefficients ⋮ A robust semi-explicit difference scheme for the Kuramoto-Tsuzuki equation ⋮ A new approach for numerical solution of Kuramoto-Tsuzuki equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation
• Optimal \(L^{\infty}\) error estimates for finite element Galerkin methods for nonlinear evolution equations
• Numerical solution of the sine-Gordon equation
• On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
• On convergence and stability of difference schemes for derivative nonlinear evolution equations
• A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator.
• On convergence of difference schemes for nonlinear Schrödinger equations, the Kuramoto-Tsuzuki equation, and reaction-diffusion type systems
• Numerical methods and error analysis for the nonlinear Sivashinsky equation
• Finite difference approximate solutions for the Cahn-Hilliard equation
• Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations
• Finite difference discretization of the cubic Schrödinger equation
• On the numerical approach of the enthalpy method for the Stefan problem
• A second‐order linearized difference scheme for a strongly coupled reaction‐diffusion system
• Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
• Convergence of Galerkin approximations for the Kuramoto‐Tsuzuki equation

This page was built for publication: Stability and convergence of difference scheme for nonlinear evolutionary type equations