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Karamali, Gholamreza, Mohammadi-firouzjaei, Hadi. (1403). Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case. پژوهشنامه مدیریت اجرایی, 13(2), 319-330. doi: 10.22080/cjms.2024.27625.1713
Gholamreza Karamali; Hadi Mohammadi-firouzjaei. "Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case". پژوهشنامه مدیریت اجرایی, 13, 2, 1403, 319-330. doi: 10.22080/cjms.2024.27625.1713
Karamali, Gholamreza, Mohammadi-firouzjaei, Hadi. (1403). 'Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case', پژوهشنامه مدیریت اجرایی, 13(2), pp. 319-330. doi: 10.22080/cjms.2024.27625.1713
Karamali, Gholamreza, Mohammadi-firouzjaei, Hadi. Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case. پژوهشنامه مدیریت اجرایی, 1403; 13(2): 319-330. doi: 10.22080/cjms.2024.27625.1713

Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case

Caspian Journal of Mathematical Sciences
دوره 13، شماره 2 - شماره پیاپی 26، 2024، صفحه 319-330    اصل مقاله (159.71 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2024.27625.1713
نویسندگان
Gholamreza Karamali* 1؛ Hadi Mohammadi-firouzjaei2
1Faculty of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, South Mehrabad, Tehran, Iran
2Faculty of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, South MehrAbad, Tehran, Iran.
تاریخ دریافت: 29 مرداد 1403،  تاریخ بازنگری: 30 مهر 1403،  تاریخ پذیرش: 13 آبان 1403 
چکیده
‎‎Our focus in this paper is on numerically solving fourthorder time-fractional integro-di erential equations with weakly  singular kernels. L1 and quadrature formulas are used to discretize  the temporal and memory terms. For spatial discretization, a highorder local discontinuous Galerkin method is employed. Finally, the numerical optimal convergence rate for the proposed scheme is demonstrated by the use of numerical results.
کلیدواژه‌ها
L1 formula؛ Quadrature formula؛ Local discontinuous؛ Galerkin method؛ Fourth-order PIDEs؛ Memory term
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