Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique

DOI10.1016/j.amc.2018.03.023zbMath1427.65121OpenAlexW2794935200MaRDI QIDQ2333181

Esmail Babolian, M. Talebi Moghaddam, M. Khaleghi, Saeid Abbasbandy

Publication date: 12 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.03.023

zbMATH Keywords

convergenceChebyshev polynomialserror estimationDirichlet boundary conditionssingular two-point boundary value problempolynomial reproducing kernel

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems ⋮ The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis ⋮ A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory ⋮ A spectral method for the solution of boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A collection of computational techniques for solving singular boundary-value problems
• Chebyshev reproducing kernel method: application to two-point boundary value problems
• Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline
• Higher order finite difference method for a class of singular boundary value problems
• Solving singular two-point boundary value problems using continuous genetic algorithm
• Solving singular two-point boundary value problem in reproducing kernel space
• Approximate solutions of singular two-point BVPs using Legendre operational matrix of differentiation
• Methods for solving singular boundary value problems using splines: a review
• Best approximation in inner product spaces

This page was built for publication: Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique