A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations
In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this me...
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Shahid Chamran University of Ahvaz
2024-08-01
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| Series: | مدل‌سازی پیشرفته ریاضی |
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| Online Access: | https://jamm.scu.ac.ir/article_19462_1ddf96a98a2f91f83d5626845d88328c.pdf |
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| author | Mehdi Jalalvand Mohammad Reza Mokhtarzadeh Sedigheh Toubaei |
| author_facet | Mehdi Jalalvand Mohammad Reza Mokhtarzadeh Sedigheh Toubaei |
| author_sort | Mehdi Jalalvand |
| collection | DOAJ |
| description | In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems. |
| format | Article |
| id | doaj-art-1633c1f9be244657a1f83a16e13e23bb |
| institution | Kabale University |
| issn | 2251-8088 2645-6141 |
| language | fas |
| publishDate | 2024-08-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | مدل‌سازی پیشرفته ریاضی |
| spelling | doaj-art-1633c1f9be244657a1f83a16e13e23bb2024-11-26T05:54:34ZfasShahid Chamran University of Ahvazمدل‌سازی پیشرفته ریاضی2251-80882645-61412024-08-0114(English)311510.22055/jamm.2024.48011.231319462A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral EquationsMehdi Jalalvand0Mohammad Reza Mokhtarzadeh1Sedigheh Toubaei2Department of Mathematics, Shahid Chamran University of Ahvaz,School of Mathematics, Institute for Research in Fundamental Sciences,Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, IranIn this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.https://jamm.scu.ac.ir/article_19462_1ddf96a98a2f91f83d5626845d88328c.pdfمعادلات انتگرال ولترامنفرد ضعیفپایین مثلثی بلوکیروش تفاضلات متناهی |
| spellingShingle | Mehdi Jalalvand Mohammad Reza Mokhtarzadeh Sedigheh Toubaei A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations مدل‌سازی پیشرفته ریاضی معادلات انتگرال ولترا منفرد ضعیف پایین مثلثی بلوکی روش تفاضلات متناهی |
| title | A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations |
| title_full | A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations |
| title_fullStr | A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations |
| title_full_unstemmed | A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations |
| title_short | A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations |
| title_sort | finite difference method for smooth solution of a system of linear volterra integral equations |
| topic | معادلات انتگرال ولترا منفرد ضعیف پایین مثلثی بلوکی روش تفاضلات متناهی |
| url | https://jamm.scu.ac.ir/article_19462_1ddf96a98a2f91f83d5626845d88328c.pdf |
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