A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
type: Item
instance of: scholarly article
title: A fourth-order finite difference method based on uniform mesh for singular two-point boundary-value problems
zbMATH Open document ID: 0614.65087
DOI: 10.1016/0377-0427(87)90112-9
author: Man M. Chawla
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We present a new fourth-order finite difference method based on uniform mesh for the (weakly) singular two-point boundary value problem: \((x^{\alpha}y')'=f(x,y)\), \(0<x\leq 1\), \(y(0)=A\), \(y(1)=B\), \(0<\alpha <1\). Our method provides \(O(h^ 4)\)-convergent approximations for all \(\alpha\in (0,1)\); for \(\alpha =0\) it reduces to the well-known fourth- order method of Numerov for \(y''=f(x,y)\).
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 3994955
zbMATH Keywords: Numerov method
zbMATH Keywords: fourth-order finite difference method
zbMATH Keywords: uniform mesh
zbMATH Keywords: singular two-point boundary value problem
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90112-9
OpenAlex ID: W2023128601
cites work: A Uniform Mesh Finite Difference Method for a Class of Singular Two-Point Boundary Value Problems
cites work: Finite difference methods and their convergence for a class of singular two point boundary value problems
cites work: Collocation Methods for Singular Boundary Value Problems
description: scientific article; zbMATH DE number 3994955