A linearisation method for non-linear singular boundary value problems

被引：24

作者：

Motsa, S. S. ^{[1
]}

Sibanda, P. ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 07期

关键词：

Singular BVPs; Successive linearisation method; Tumour growth model; FINITE-DIFFERENCE METHOD; PHYSIOLOGY; GROWTH; MODEL; CONVERGENCE; SPLINE; TUMOR;

D O I：

10.1016/j.camwa.2011.12.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1197 / 1203

页数：7

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