Initial value methods for the eigenelements of singular two-point boundary value problems

B. S. Attili; M. B.M. Elgindi; M. A. El-Gebeily

Initial value methods for the eigenelements of singular two-point boundary value problems

B. S. Attili, M. B.M. Elgindi, M. A. El-Gebeily^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper is concerned with the application of Runge-Kutta methods in the approximation of eigenvalues and eigenfunctions using the shooting method for a class of singular two-point boundary value problems. It is shown that the classical Runge-Kutta methods have at least h²-order of convergence.

Original language	English
Pages (from-to)	67-77
Number of pages	11
Journal	Arabian Journal for Science and Engineering
Volume	22
Issue number	2C
State	Published - Dec 1997

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title = "Initial value methods for the eigenelements of singular two-point boundary value problems",

abstract = "This paper is concerned with the application of Runge-Kutta methods in the approximation of eigenvalues and eigenfunctions using the shooting method for a class of singular two-point boundary value problems. It is shown that the classical Runge-Kutta methods have at least h2-order of convergence.",

author = "Attili, {B. S.} and Elgindi, {M. B.M.} and El-Gebeily, {M. A.}",

year = "1997",

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journal = "Arabian Journal for Science and Engineering",

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AU - Attili, B. S.

AU - Elgindi, M. B.M.

AU - El-Gebeily, M. A.

PY - 1997/12

Y1 - 1997/12

N2 - This paper is concerned with the application of Runge-Kutta methods in the approximation of eigenvalues and eigenfunctions using the shooting method for a class of singular two-point boundary value problems. It is shown that the classical Runge-Kutta methods have at least h2-order of convergence.

AB - This paper is concerned with the application of Runge-Kutta methods in the approximation of eigenvalues and eigenfunctions using the shooting method for a class of singular two-point boundary value problems. It is shown that the classical Runge-Kutta methods have at least h2-order of convergence.

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M3 - Article

AN - SCOPUS:0031371862

SN - 2193-567X

VL - 22

SP - 67

EP - 77

JO - Arabian Journal for Science and Engineering

JF - Arabian Journal for Science and Engineering

IS - 2C

ER -

Initial value methods for the eigenelements of singular two-point boundary value problems

Abstract

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