Volume 9, Issue 2 (9-2023)
mmr 2023, 9(2): 43-62 |
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S. Farahani M, Hadizadeh Yazdi M. A Hybrid Algorithm based on Iterative Regularization Methods for semi-explicit Integro-Differential-Algebraic Equations. mmr 2023; 9 (2) :43-62
URL: http://mmr.khu.ac.ir/article-1-3185-en.html
URL: http://mmr.khu.ac.ir/article-1-3185-en.html
1- , hadizadeh@kntu.ac.ir
Abstract: (931 Views)
In this paper, a hybrid algorithm based on Galerkin's discretization and Landweber iteration method is presented to approximate the solution of ill-posed semi-explicit integro-differential-algebraic equations. The intrinsic property of the method is stipulated by its ability to efficiently control the number of iterations by varying the regularization parameter and subdivisions. The convergence analysis and computational efficiency of the proposed algorithm are also investigated through some numerical experiments.
Keywords: Ill-posed Problems, Iterative Regularization Methods, Landweber Iterative Method, Degree of Ill-posed ness, Numerical Stability, Integro-Differential Algebraic Equations.
Type of Study: Original Manuscript |
Subject:
Anal
Received: 2021/04/3 | Revised: 2024/06/24 | Accepted: 2021/09/7 | Published: 2023/12/3 | ePublished: 2023/12/3
Received: 2021/04/3 | Revised: 2024/06/24 | Accepted: 2021/09/7 | Published: 2023/12/3 | ePublished: 2023/12/3
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