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پایگاه استنادی علوم جهان اسلام (ISC)

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Ebrahimi, Maryam, Matinfar, Mashallah, Babaei, Afshin. (1405). Numerical solution for an inverse source problem of a fractional order diffusion-wave equation. سامانه مدیریت نشریات علمی, 14(3), 996-1009. doi: 10.22034/cmde.2025.61173.2630
Maryam Ebrahimi; Mashallah Matinfar; Afshin Babaei. "Numerical solution for an inverse source problem of a fractional order diffusion-wave equation". سامانه مدیریت نشریات علمی, 14, 3, 1405, 996-1009. doi: 10.22034/cmde.2025.61173.2630
Ebrahimi, Maryam, Matinfar, Mashallah, Babaei, Afshin. (1405). 'Numerical solution for an inverse source problem of a fractional order diffusion-wave equation', سامانه مدیریت نشریات علمی, 14(3), pp. 996-1009. doi: 10.22034/cmde.2025.61173.2630
Ebrahimi, Maryam, Matinfar, Mashallah, Babaei, Afshin. Numerical solution for an inverse source problem of a fractional order diffusion-wave equation. سامانه مدیریت نشریات علمی, 1405; 14(3): 996-1009. doi: 10.22034/cmde.2025.61173.2630

Numerical solution for an inverse source problem of a fractional order diffusion-wave equation

Computational Methods for Differential Equations
مقاله 1، دوره 14، شماره 3، مهر 2026، صفحه 996-1009    اصل مقاله (726.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.61173.2630
نویسندگان
Maryam Ebrahimi* ؛ Mashallah Matinfar؛ Afshin Babaei
Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran.
چکیده
In this paper, we consider an inverse source problem of a fractional order diffusion-wave equation (FDWE), in which the space-dependent source term is unknown. In order to obtain the numerical solution of the discussed problem and to find the unknown source function, a Chebyshev collocation method is proposed. Since this inverse problem is an ill-posed problem, a regularization scheme based on the mollification technique is used to find a stable problem. Subsequently, the stable problem is solved numerically by applying the collocation method. Furthermore, the convergence analysis is considered, and finally, the effectiveness of the studied algorithm is demonstrated by some test examples.
کلیدواژه‌ها
Inverse problem؛ Space-dependent source function؛ Mollification technique؛ Chebyshev collocation method؛ Convergence analysis
مراجع
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آمار
تعداد مشاهده مقاله: 311
تعداد دریافت فایل اصل مقاله: 333


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