TY - JOUR

T1 - Numerical solution of a singular boundary value problem for a generalized Emden-Fowler equation

AU - Lima, Pedro Miguel

AU - Oliveira, António Manuel Morais Fernandes de

PY - 2003/6

Y1 - 2003/6

N2 - In this paper we shall deal with an equation of the form y″(x)=-g(x)xpy(x)q, where p and q are real parameters satisfying p < -2, q < -1 and g is a positive and continuous function on [0,1]. We shall search for positive solutions which satisfy the boundary conditions: y(0)=y(1)=0. The initial nonlinear problem is transformed into a sequence of linear ones, each one of them is approximated by a finite difference scheme. Asymptotic expansions of the error are obtained and numerical examples are then analysed.

AB - In this paper we shall deal with an equation of the form y″(x)=-g(x)xpy(x)q, where p and q are real parameters satisfying p < -2, q < -1 and g is a positive and continuous function on [0,1]. We shall search for positive solutions which satisfy the boundary conditions: y(0)=y(1)=0. The initial nonlinear problem is transformed into a sequence of linear ones, each one of them is approximated by a finite difference scheme. Asymptotic expansions of the error are obtained and numerical examples are then analysed.

KW - expansions

UR - http://www.scopus.com/inward/record.url?scp=0038219596&partnerID=8YFLogxK

U2 - 10.1016/S0168-9274(02)00252-0

DO - 10.1016/S0168-9274(02)00252-0

M3 - Article

SN - 0168-9274

VL - 45

SP - 389

EP - 409

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 4

ER -