On fourth order centered difference scheme for linear SpBVps

A. M. Algelany; E. R. El-Zahar

On fourth order centered difference scheme for linear SpBVps

A. M. Algelany, E. R. El-Zahar

Mathematics

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

1 Scopus citations

Abstract

In this paper, a fourth order centered difference scheme is developed for linear second order singularly perturbed boundary value problems. The difference scheme is developed for the considered problem with variable coefficients and over unevenly spaced grid points. Uniqueness and stability condition is discussed at constant coefficients. Moreover, the convergence order is proved at evenly spaced grid.

Original language	English
Pages (from-to)	364-367
Number of pages	4
Journal	International Journal of Engineering Research and Technology
Volume	13
Issue number	2
State	Published - 2020

Keywords

Convergence
Finite difference centered techniques
Stability
Unevenly spaced grid

Cite this

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title = "On fourth order centered difference scheme for linear SpBVps",

abstract = "In this paper, a fourth order centered difference scheme is developed for linear second order singularly perturbed boundary value problems. The difference scheme is developed for the considered problem with variable coefficients and over unevenly spaced grid points. Uniqueness and stability condition is discussed at constant coefficients. Moreover, the convergence order is proved at evenly spaced grid.",

keywords = "Convergence, Finite difference centered techniques, Stability, Unevenly spaced grid",

author = "Algelany, \{A. M.\} and El-Zahar, \{E. R.\}",

note = "Publisher Copyright: {\textcopyright} International Research Publication House.",

year = "2020",

language = "English",

volume = "13",

pages = "364--367",

journal = "International Journal of Engineering Research and Technology",

issn = "0974-3154",

publisher = "International Research Publication House",

number = "2",

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TY - JOUR

T1 - On fourth order centered difference scheme for linear SpBVps

AU - Algelany, A. M.

AU - El-Zahar, E. R.

N1 - Publisher Copyright: © International Research Publication House.

PY - 2020

Y1 - 2020

N2 - In this paper, a fourth order centered difference scheme is developed for linear second order singularly perturbed boundary value problems. The difference scheme is developed for the considered problem with variable coefficients and over unevenly spaced grid points. Uniqueness and stability condition is discussed at constant coefficients. Moreover, the convergence order is proved at evenly spaced grid.

AB - In this paper, a fourth order centered difference scheme is developed for linear second order singularly perturbed boundary value problems. The difference scheme is developed for the considered problem with variable coefficients and over unevenly spaced grid points. Uniqueness and stability condition is discussed at constant coefficients. Moreover, the convergence order is proved at evenly spaced grid.

KW - Convergence

KW - Finite difference centered techniques

KW - Stability

KW - Unevenly spaced grid

UR - https://www.scopus.com/pages/publications/85082045020

M3 - Article

AN - SCOPUS:85082045020

SN - 0974-3154

VL - 13

SP - 364

EP - 367

JO - International Journal of Engineering Research and Technology

JF - International Journal of Engineering Research and Technology

IS - 2

ER -

On fourth order centered difference scheme for linear SpBVps

Abstract

Keywords

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