scientific article; zbMATH DE number 6928721

zbMath1397.65147MaRDI QIDQ4583994

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Publication date: 29 August 2018

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zbMATH Keywords

error estimatesnonstandard finite difference methodBenjamin-Bona-Mahony-Burgers equationJohn von Neumann stability analysis

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Discontinuity and complexity in nonlinear physical systems. Selected papers based on the presentations at the 4th international conference on nonlinear science and complexity, NSC, Budapest, Hungary, August 6--11, 2012
• Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations
• The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics
• A non-standard numerical scheme for a generalized Gause-type predator--prey model
• On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation
• Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order
• A note on an NSFD scheme for a mathematical model of respiratory virus transmission
• A non-standard finite difference method to solve a model of HIV–Malaria co-infection
• Sinc and solitary wave solutions to the generalized Benjamin–Bona–Mahony–Burgers equations
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation
• A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
• On the stability analysis of weighted average finite difference methods for fractional wave equation
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• Numerical solutions of nonlinear fractional Schrödinger equations using nonstandard discretizations
• Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
• Model equations for long waves in nonlinear dispersive systems
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