An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems

DOI10.1007/s40324-016-0094-9zbMath1380.65133OpenAlexW2527924368MaRDI QIDQ1689258

Firdous Ahmad Shah, Rustam Abass

Publication date: 12 January 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0094-9

zbMATH Keywords

collocation methodmultiresolution analysisboundary value problemswaveletboundary layersHaar waveletnumerical testoperational matrixsingularly perturbed problems

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Investigation of fractional models of damping material by a neuroevolutionary approach ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation ⋮ A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source ⋮ Unnamed Item ⋮ A multiresolution collocation method and its convergence for Burgers' type equations ⋮ High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations ⋮ Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems ⋮ A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

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