Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems

DOI10.1186/S13662-017-1156-8zbMath1422.65472OpenAlexW2604592092WikidataQ59518042 ScholiaQ59518042MaRDI QIDQ1628660

Montri Maleewong, Somlak Utudee

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1156-8

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Numerical methods for wavelets (65T60) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Existence and Hyers-Ulam stability for three-point boundary value problems with Riemann-Liouville fractional derivatives and integrals ⋮ Multiresolution wavelet bases with augmentation method for solving singularly perturbed reaction–diffusion Neumann problem ⋮ On a coupled system of fractional differential equations with nonlocal non-separated boundary conditions

Cites Work

• Fast multilevel augmentation methods for nonlinear boundary value problems
• Galerkin-wavelet methods for two-point boundary value problems
• Wavelet multilevel augmentation method for linear boundary value problems
• Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations
• Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations
• Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
• Orthonormal bases of compactly supported wavelets
• Approximate Solutions of Operator Equations
• A Multilevel Nonlinear Method

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