Wavelet optimized finite difference method using interpolating wavelets for self-adjoint singularly perturbed problems

DOI10.1016/j.cam.2009.01.017zbMath1167.65407OpenAlexW2105505702MaRDI QIDQ2390025

Mani Mehra, Vivek Kumar

Publication date: 20 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.01.017

zbMATH Keywords

wavelet optimized finite difference methodinterpolating wavelet transformLagrange finite differenceself-adjoint singularly perturbed problems

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Symmetric iterative interpolation processes
• Adaptive multiresolution schemes for shock computations
• Fitted mesh \(B\)-spline collocation method for solving self-adjoint singularly perturbed boundary value problems
• Uniformly convergent nonstandard finite difference methods for self-adjoint singular perturbation problems
• A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
• Multiresolution representations using the autocorrelation functions of compactly supported wavelets
• CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS