Haar wavelet-based numerical investigation of coupled viscous Burgers' equation

DOI10.1080/00207160.2014.957688zbMath1320.65147OpenAlexW2080357433MaRDI QIDQ5266155

Harpreet Kaur, Ramesh Chand Mittal, Vinod Kumar Mishra

Publication date: 30 July 2015

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

Full work available at URL: https://doi.org/10.1080/00207160.2014.957688

zbMATH Keywords

Runge-Kutta methodHaar waveletscoupled viscous Burgers' equationdiscretization collocation scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation ⋮ Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation ⋮ An efficient numerical algorithm for multi-dimensional time dependent partial differential equations ⋮ Wavelet based iterative methods for a class of 2D-partial integro differential equations ⋮ Point-symmetric extension-based interval Shannon-cosine spectral method for fractional PDEs ⋮ Multistep methods for the numerical simulation of two-dimensional Burgers' equation ⋮ Numerical solutions of inverse time fractional coupled Burgers' equations by the Chebyshev wavelet method ⋮ Unnamed Item ⋮ Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

Cites Work

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• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
• Numerical solution of stiff differential equations via Haar wavelets
• An explicit solution of coupled viscous Burgers' equation by the decomposition method

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