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Volume 9, Issue 4
Finite Element Method for solving Linear Volterra Integro-Differential Equations of the second kind

M.Gachpazan and A. Kerayechian and H. zeidabadi

J. Info. Comput. Sci. , 9 (2014), pp. 289-297.

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  • Abstract
In this paper, we present a method for numerical solution of linear Volterra integro - differential equations with boundary conditions. First, we obtain variational form of the problem, and then, finite element method and basis functions will be used. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples.
  • Keywords

Linear Volterra Integro-Differential Equations, Finite element method, Error estimation.

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COPYRIGHT: © Global Science Press

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@Article{JICS-9-289, author = {M.Gachpazan and A. Kerayechian and H. zeidabadi}, title = {Finite Element Method for solving Linear Volterra Integro-Differential Equations of the second kind}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {9}, number = {4}, pages = {289--297}, abstract = {In this paper, we present a method for numerical solution of linear Volterra integro - differential equations with boundary conditions. First, we obtain variational form of the problem, and then, finite element method and basis functions will be used. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22573.html} }
TY - JOUR T1 - Finite Element Method for solving Linear Volterra Integro-Differential Equations of the second kind AU - M.Gachpazan and A. Kerayechian and H. zeidabadi JO - Journal of Information and Computing Science VL - 4 SP - 289 EP - 297 PY - 2024 DA - 2024/01 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22573.html KW - Linear Volterra Integro-Differential Equations, Finite element method, Error estimation. AB - In this paper, we present a method for numerical solution of linear Volterra integro - differential equations with boundary conditions. First, we obtain variational form of the problem, and then, finite element method and basis functions will be used. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples.
M.Gachpazan and A. Kerayechian and H. zeidabadi. (2024). Finite Element Method for solving Linear Volterra Integro-Differential Equations of the second kind. Journal of Information and Computing Science. 9 (4). 289-297. doi:
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