Higher order time integration formula with application on Burgers’ equation

DOI10.1080/00207160.2014.909032zbMath1318.65036OpenAlexW2030778833MaRDI QIDQ5259074

Lajja Verma, Amit Kumar Verma

Publication date: 24 June 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.909032

zbMATH Keywords

stabilityconvergencenumerical exampleinitial value problemBurgers' equationtruncation errorHopf-Cole transformationBoole's ruleTaylor's series approximation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

On a weakly L‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations

Cites Work

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• New L-stable modified trapezoidal formulas for the numerical integration of Y¹=f(x, y)
• A new L-stable Simpson-type rule for the diffusion equation
• A special stability problem for linear multistep methods
• The partial differential equation u_t + uu_x = μ_xx

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