New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems

DOI10.1016/j.joems.2015.05.002zbMath1337.65131OpenAlexW577648700MaRDI QIDQ274524

Youssri H. Youssri, Eid H. Doha, Waleed M. Abd-Elhameed

Publication date: 22 April 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.05.002

zbMATH Keywords

algorithmconvergenceBurgers equationBernstein-type inequalityLane-Emden equationspectral collocation methodinitial and boundary value problemseven-order differential equationsultraspherical wavelets

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations ⋮ Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems ⋮ An efficient wavelet-based method for the numerical solutions of nonlinear coupled reaction-diffusion equations in biochemical engineering ⋮ Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system ⋮ Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations ⋮ An expeditious wavelet-based numerical scheme for solving fractional differential equations ⋮ Generalization of Gegenbauer wavelet collocation method to the generalized Kuramoto-Sivashinsky equation ⋮ Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform ⋮ Solution of fractional oscillator equations using ultraspherical wavelets ⋮ Novel functional matrix method using standard basis of polynomial linear space

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