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Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 7، شماره 3، مهر 2019، صفحه 383-395 اصل مقاله (587.3 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Fahimeh Soltanian* 1؛ Morteza Garshasbi2 | ||
| 1Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran | ||
| 2Department of Mathematics, Iran University of Science and Technology, P. O. Box 16846-13114, Tehran, Iran | ||
| چکیده | ||
| In this work, a general mathematical model of Diffusion Tensor Magnetic Resonance Imaging is formulated as an inverse problem. An effective numerical approach based on space marching method and mollifcation scheme is established to solve this problem. Convergence and stability of proposed approach are established. Using two test problems, the robustness and ability of the numerical approach is investigated. | ||
| کلیدواژهها | ||
| Inverse problem؛ Magnetic Resonance Imaging؛ Mollification؛ Regularized problem marching approach | ||
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آمار تعداد مشاهده مقاله: 347 تعداد دریافت فایل اصل مقاله: 214 |
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