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Inverse Problems in Science and Engineering Volume 26, 2018 - Issue 5
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Articles

Direct regularization for system of integral-algebraic equations of index-1

M. S. FarahaniFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.
&
M. HadizadehFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.Correspondence[email protected]
Pages 728-743 | Received 17 Jan 2017, Accepted 20 Jun 2017, Published online: 06 Jul 2017

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Sayed Arsalan Sajjadi, Hashem Saberi Najafi & Hossein Aminikhah. (2023) A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions. Applicable Analysis 102:13, pages 3733-3750.
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Articles from other publishers (10)

P. Darania & S. Pishbin. (2023) Multistep collocation methods for integral-algebraic equations with non-vanishing delays. Mathematics and Computers in Simulation 205, pages 33-61.
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S. Pishbin. (2022) Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials. Applied Numerical Mathematics 179, pages 221-237.
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Hecong Gao & Hui Liang. (2022) Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type. Computational and Applied Mathematics 41:6.
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Sayed Arsalan Sajjadi, Hashem Saberi Najafi & Hossein Aminikhah. (2022) An error estimation of a Nyström type method for integral-algebraic equations of index-1. Mathematical Sciences.
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港 曾. (2022) A Collocation Boundary Value Method for Integral Algebraic Equations of Index-1. Advances in Applied Mathematics 11:05, pages 2441-2453.
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M. N. Botoroeva, O. S. Budnikova, M. V. Bulatov & S. S. Orlov. (2021) Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods. Computational Mathematics and Mathematical Physics 61:11, pages 1787-1799.
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Svetlana Solodusha & Mikhail Bulatov. (2021) Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering. Mathematics 9:16, pages 1905.
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Sayed Arsalan Sajjadi & Saeed Pishbin. (2020) Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels. Numerical Algorithms 86:1, pages 25-54.
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Tingting Zhang, Hui Liang & Shijie Zhang. (2020) On the convergence of multistep collocation methods for integral-algebraic equations of index 1. Computational and Applied Mathematics 39:4.
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Mahdi S. Farahani, Mahmoud Hadizadeh, Mikhail V. Bulatov & Elena Chistyakova. (2019) Adaptive iterative regularization schemes for two‐dimensional integral‐algebraic systems. Mathematical Methods in the Applied Sciences 42:18, pages 6635-6647.
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