A hybrid method using wavelets for the numerical solution of boundary value problems on the interval

DOI10.1016/j.amc.2010.08.068zbMath1204.65089OpenAlexW2077249132MaRDI QIDQ613274

Victoria Vampa, E. P. Serrano, Maria Teresa Martín

Publication date: 20 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.068

zbMATH Keywords

waveletsmultiresolution analysisnumerical exampleswavelet-Galerkin methodB-spline functionssecond order boundary value problems

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

Fast and Slow Boundary Oscillations in a Thin Domain ⋮ A wavelet immersed boundary method for two-variable coupled fluid-structure interactions ⋮ Coiflet-Galerkin method for solving second order BVPs with variable coefficients in three dimensions ⋮ Existence and computational results to Volterra-Fredholm integro-differential equations involving delay term ⋮ A NEW REFINEMENT WAVELET–GALERKIN METHOD IN A SPLINE LOCAL MULTIRESOLUTION ANALYSIS SCHEME FOR BOUNDARY VALUE PROBLEMS ⋮ Wavelet B-Splines Bases on the Interval for Solving Boundary Value Problems ⋮ Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs

Cites Work

• A dynamic multiscale lifting computation method using Daubechies wavelet
• On the numerical solution of differential equations by the finite element method. II: Alternative finite element formulations
• Wavelet solutions for the Dirichlet problem
• A wavelet collocation method for the numerical solution of partial differential equations
• Cardinal interpolation and spline functions
• A spline wavelet finite-element method in structural mechanics
• Orthonormal bases of compactly supported wavelets
• Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>
• CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS
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