A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations

DOI10.1080/15502281003762181zbMath1230.65109OpenAlexW2109779905MaRDI QIDQ3102108

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Publication date: 1 December 2011

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502281003762181

zbMATH Keywords

stabilitynumerical resultsconvection-diffusion equationseries expansionwavelet transformKrylov subspace methodHaar transformrestrictive Taylor approximationHaar wavelet methodexponential matrixcomputationally attractive

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Series solutions to PDEs (35C10) Iterative numerical methods for linear systems (65F10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

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• Haar Wavelet Splines
• The numerical treatment of nonlinear parabolic partial differential equations governing convection-diffusion processes
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Haar wavelet approach to nonlinear stiff systems

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