The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem
Joint Authors
al-Hawwasi, Jamil A. Ali
Mansur, Nuha Farhan
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 34, Issue 2 (30 Jun. 2021), pp.119-128, 10 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2021-06-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract EN
This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP).
The given BVP is written in its discrete (DI) weak form (WEF), and is proved that it has a unique APPS, which is obtained via the mixed Galerkin finite element method (GFE) with implicit method (MGFEIM) that reduces the problem to solve the Galerkin nonlinear algebraic system (GNAS).
In this part, the predictor and the corrector technique (PT and CT) are proved convergent and are used to transform the obtained GNAS to linear (GLAS), then the GLAS is solved using the Cholesky method (ChMe).
The stability and the convergence of the method are studied.
The results are given by figures and shown the efficiency and accuracy for the This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP).
The given BVP is written in its discrete (DI) weak form (WEF), and is proved that it has a unique APPS, which is obtained via the mixed Galerkin finite element method (GFE) with implicit method (MGFEIM) that reduces the problem to solve the Galerkin nonlinear algebraic system (GNAS).
In this part, the predictor and the corrector technique (PT and CT) are proved convergent and are used to transform the obtained GNAS to linear (GLAS), then the GLAS is solved using the Cholesky method (ChMe).
The stability and the convergence of the method are studied.
The results are given by figures and shown the efficiency and accuracy for the method.
American Psychological Association (APA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. 2021. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 34, no. 2, pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
Modern Language Association (MLA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science Vol. 34, no. 2 (2021), pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
American Medical Association (AMA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science. 2021. Vol. 34, no. 2, pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 127-128
Record ID
BIM-1255701