Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging

Document Type : Research Paper


1 Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Iran University of Science and Technology, P. O. Box 16846-13114, Tehran, Iran


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.


Volume 7, Issue 3
July 2019
Pages 383-395
  • Receive Date: 10 July 2018
  • Revise Date: 09 September 2018
  • Accept Date: 30 September 2018
  • First Publish Date: 01 July 2019