Numerical solution of integral-algebraic equations of index one using discretized method

Qutaibeh D. Katatbeh; Yousef Al-Jarrah; En Bing Lin

Numerical solution of integral-algebraic equations of index one using discretized method

Qutaibeh D. Katatbeh, Yousef Al-Jarrah, En Bing Lin

Mathematics

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

1 Scopus citations

Abstract

Integral-Algebraic Equations model a large-scale process that appears in many applied fields. Throughout this paper we analyze the numerical solution for the class of Integral-Algebraic Equations of index one. We derive the system for the Discretized Collocation Method to solve Integral-Algebraic Equations of index one with linear and nonlinear kernels. Moreover, we obtain the global convergence error.We use an example to compare both Spline and Discretized Collocation methods.

Original language	English
Pages (from-to)	641-651
Number of pages	11
Journal	Nonlinear Studies
Volume	21
Issue number	4
State	Published - 2014

Keywords

Integral-Algebraic equations
Spline and discretized collocation methods

Cite this

@article{b04bed6f43fd43119054ac46d09078aa,

title = "Numerical solution of integral-algebraic equations of index one using discretized method",

abstract = "Integral-Algebraic Equations model a large-scale process that appears in many applied fields. Throughout this paper we analyze the numerical solution for the class of Integral-Algebraic Equations of index one. We derive the system for the Discretized Collocation Method to solve Integral-Algebraic Equations of index one with linear and nonlinear kernels. Moreover, we obtain the global convergence error.We use an example to compare both Spline and Discretized Collocation methods.",

keywords = "Integral-Algebraic equations, Spline and discretized collocation methods",

author = "Katatbeh, {Qutaibeh D.} and Yousef Al-Jarrah and Lin, {En Bing}",

note = "Publisher Copyright: {\textcopyright} CSP - Cambridge, UK.",

year = "2014",

language = "English",

volume = "21",

pages = "641--651",

journal = "Nonlinear Studies",

issn = "1359-8678",

number = "4",

}

TY - JOUR

T1 - Numerical solution of integral-algebraic equations of index one using discretized method

AU - Katatbeh, Qutaibeh D.

AU - Al-Jarrah, Yousef

AU - Lin, En Bing

N1 - Publisher Copyright: © CSP - Cambridge, UK.

PY - 2014

Y1 - 2014

N2 - Integral-Algebraic Equations model a large-scale process that appears in many applied fields. Throughout this paper we analyze the numerical solution for the class of Integral-Algebraic Equations of index one. We derive the system for the Discretized Collocation Method to solve Integral-Algebraic Equations of index one with linear and nonlinear kernels. Moreover, we obtain the global convergence error.We use an example to compare both Spline and Discretized Collocation methods.

AB - Integral-Algebraic Equations model a large-scale process that appears in many applied fields. Throughout this paper we analyze the numerical solution for the class of Integral-Algebraic Equations of index one. We derive the system for the Discretized Collocation Method to solve Integral-Algebraic Equations of index one with linear and nonlinear kernels. Moreover, we obtain the global convergence error.We use an example to compare both Spline and Discretized Collocation methods.

KW - Integral-Algebraic equations

KW - Spline and discretized collocation methods

UR - http://www.scopus.com/inward/record.url?scp=84915803818&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84915803818

SN - 1359-8678

VL - 21

SP - 641

EP - 651

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 4

ER -

Numerical solution of integral-algebraic equations of index one using discretized method

Abstract

Keywords

Other files and links

Fingerprint

Cite this