A linearisation method for non-linear singular boundary value problems

Authors:
S. S. Motsa;P. Sibanda
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2012

Citing 6
Cited 0

A fourth order method for a singular two-point boundary value problem

BIT
Accuracy and speed in computing the Chebyshev collocation derivative

SIAM Journal on Scientific Computing
Spectral methods in MatLab

Spectral methods in MatLab
A MATLAB differentiation matrix suite

ACM Transactions on Mathematical Software (TOMS)
On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology

Journal of Computational and Applied Mathematics
A novel approach for the solution of a class of singular boundary value problems arising in physiology

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

This paper presents a novel numerical approach for the solution of a class of nonlinear singular boundary value problems arising in physiology. The approach is based on a new application of the successive linearisation method (SLM). Three illustrative examples are presented to demonstrate the effectiveness of the proposed method. The new approach is found to give accurate results comparable to results in the literature found using existing numerical methods.