Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations

DOI10.1142/S1793557119500542zbMath1416.65383OpenAlexW2801557160MaRDI QIDQ5223083

L. M. Angadi, A. B. Deshi, S. C. Shiralashetti

Publication date: 5 July 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500542

zbMATH Keywords

spline waveletsfilter coefficientsfull-approximation schemewavelet multigridPPDEs

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• WaveletWare

Cites Work

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• A fast wavelet-multigrid method to solve elliptic partial differential equations
• The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations
• A new wavelet multigrid method
• Wavelet based multigrid methods for linear and nonlinear elliptic partial differential equations.
• Homotopy perturbation method: a new nonlinear analytical technique
• Biorthogonal bases of compactly supported wavelets
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• A Multigrid Tutorial, Second Edition
• The speed of convergence of one iterative process

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