Artigos de revistas sobre o tema "Bloch-Torrey equation"
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Yu, Qiang, Fawang Liu, Ian Turner e Kevin Burrage. "Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, n.º 1990 (13 de maio de 2013): 20120150. http://dx.doi.org/10.1098/rsta.2012.0150.
Texto completo da fonteCaubet, Fabien, Houssem Haddar, Jing-Rebecca li e Dang Van Nguyen. "New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI". ESAIM: Mathematical Modelling and Numerical Analysis 51, n.º 4 (30 de junho de 2017): 1279–301. http://dx.doi.org/10.1051/m2an/2016060.
Texto completo da fonteRotkopf, L. T., E. Wehrse, F. T. Kurz, H. P. Schlemmer e C. H. Ziener. "Efficient discretization scheme for semi-analytical solutions of the Bloch-Torrey equation". Journal of Magnetic Resonance Open 6-7 (junho de 2021): 100010. http://dx.doi.org/10.1016/j.jmro.2021.100010.
Texto completo da fonteSeroussi, Inbar, Denis S. Grebenkov, Ofer Pasternak e Nir Sochen. "Microscopic interpretation and generalization of the Bloch-Torrey equation for diffusion magnetic resonance". Journal of Magnetic Resonance 277 (abril de 2017): 95–103. http://dx.doi.org/10.1016/j.jmr.2017.01.018.
Texto completo da fonteMagin, Richard L., Osama Abdullah, Dumitru Baleanu e Xiaohong Joe Zhou. "Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation". Journal of Magnetic Resonance 190, n.º 2 (fevereiro de 2008): 255–70. http://dx.doi.org/10.1016/j.jmr.2007.11.007.
Texto completo da fonteZhu, Yun, e Zhi-Zhong Sun. "A High-Order Difference Scheme for the Space and Time Fractional Bloch–Torrey Equation". Computational Methods in Applied Mathematics 18, n.º 1 (1 de janeiro de 2018): 147–64. http://dx.doi.org/10.1515/cmam-2017-0034.
Texto completo da fonteXu, Tao, Shujuan Lü e Haonan Li. "An implicit numerical method for the space-time variable-order fractional Bloch-Torrey equation". Journal of Physics: Conference Series 1039 (junho de 2018): 012008. http://dx.doi.org/10.1088/1742-6596/1039/1/012008.
Texto completo da fonteBarzykin, A. V. "Exact solution of the Torrey-Bloch equation for a spin echo in restricted geometries". Physical Review B 58, n.º 21 (1 de dezembro de 1998): 14171–74. http://dx.doi.org/10.1103/physrevb.58.14171.
Texto completo da fonteBeltrachini, Leandro, Zeike A. Taylor e Alejandro F. Frangi. "A parametric finite element solution of the generalised Bloch–Torrey equation for arbitrary domains". Journal of Magnetic Resonance 259 (outubro de 2015): 126–34. http://dx.doi.org/10.1016/j.jmr.2015.08.008.
Texto completo da fonteZhao, Yue, Weiping Bu, Xuan Zhao e Yifa Tang. "Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation". Journal of Computational Physics 350 (dezembro de 2017): 117–35. http://dx.doi.org/10.1016/j.jcp.2017.08.051.
Texto completo da fonteBueno-Orovio, Alfonso, e Kevin Burrage. "Exact solutions to the fractional time-space Bloch–Torrey equation for magnetic resonance imaging". Communications in Nonlinear Science and Numerical Simulation 52 (novembro de 2017): 91–109. http://dx.doi.org/10.1016/j.cnsns.2017.04.013.
Texto completo da fonteZhang, Mengchen, Fawang Liu, Ian W. Turner e Vo V. Anh. "Numerical simulation of the distributed-order time-space fractional Bloch-Torrey equation with variable coefficients". Applied Mathematical Modelling 129 (maio de 2024): 169–90. http://dx.doi.org/10.1016/j.apm.2024.01.050.
Texto completo da fonteNguyen, Dang Van, Jing-Rebecca Li, Denis Grebenkov e Denis Le Bihan. "A finite elements method to solve the Bloch–Torrey equation applied to diffusion magnetic resonance imaging". Journal of Computational Physics 263 (abril de 2014): 283–302. http://dx.doi.org/10.1016/j.jcp.2014.01.009.
Texto completo da fonteYang, Jiye, Yuqing Li e Zhiyong Liu. "A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation". Computers & Mathematics with Applications 156 (fevereiro de 2024): 1–15. http://dx.doi.org/10.1016/j.camwa.2023.12.007.
Texto completo da fonteSevilla, F. J., e V. M. Kenkre. "Theory of the spin echo signal in NMR microscopy: analytic solutions of a generalized Torrey–Bloch equation". Journal of Physics: Condensed Matter 19, n.º 6 (22 de janeiro de 2007): 065113. http://dx.doi.org/10.1088/0953-8984/19/6/065113.
Texto completo da fonteSong, J., Q. Yu, F. Liu e I. Turner. "A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation". Numerical Algorithms 66, n.º 4 (17 de setembro de 2013): 911–32. http://dx.doi.org/10.1007/s11075-013-9768-x.
Texto completo da fonteYu, Q., F. Liu, I. Turner e K. Burrage. "A computationally effective alternating direction method for the space and time fractional Bloch–Torrey equation in 3-D". Applied Mathematics and Computation 219, n.º 8 (dezembro de 2012): 4082–95. http://dx.doi.org/10.1016/j.amc.2012.10.056.
Texto completo da fonteLiao, Mingzhao, Yu Liu, Yafeng Li, Liangliang Hu, Haihong Niu e Jinzhang Xu. "Simulation of Diffusion Magnetic Resonance Based on Chain Method". Journal of Physics: Conference Series 2607, n.º 1 (1 de outubro de 2023): 012002. http://dx.doi.org/10.1088/1742-6596/2607/1/012002.
Texto completo da fonteBu, Weiping, Yanmin Zhao e Chen Shen. "Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation". Applied Mathematics and Computation 398 (junho de 2021): 125985. http://dx.doi.org/10.1016/j.amc.2021.125985.
Texto completo da fonteDoucette, Jonathan, Luxi Wei, Enedino Hernández-Torres, Christian Kames, Nils D. Forkert, Rasmus Aamand, Torben E. Lund, Brian Hansen e Alexander Rauscher. "Rapid solution of the Bloch-Torrey equation in anisotropic tissue: Application to dynamic susceptibility contrast MRI of cerebral white matter". NeuroImage 185 (janeiro de 2019): 198–207. http://dx.doi.org/10.1016/j.neuroimage.2018.10.035.
Texto completo da fonteMagin, Richard L., Hamid Karani, Shuhong Wang e Yingjie Liang. "Fractional Order Complexity Model of the Diffusion Signal Decay in MRI". Mathematics 7, n.º 4 (12 de abril de 2019): 348. http://dx.doi.org/10.3390/math7040348.
Texto completo da fonteZhang, Mengchen, Fawang Liu, Ian W. Turner, Vo V. Anh e Libo Feng. "A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains". Computers & Mathematics with Applications 98 (setembro de 2021): 81–98. http://dx.doi.org/10.1016/j.camwa.2021.06.013.
Texto completo da fonteAkgul, Esra. "A novel method for the space and time fractional Bloch-Torrey equations". Thermal Science 22, Suppl. 1 (2018): 253–58. http://dx.doi.org/10.2298/tsci170715293a.
Texto completo da fonteLu, Hong, Ji Li e Mingji Zhang. "Spectral methods for two-dimensional space and time fractional Bloch-Torrey equations". Discrete & Continuous Dynamical Systems - B 25, n.º 9 (2020): 3357–71. http://dx.doi.org/10.3934/dcdsb.2020065.
Texto completo da fonteQin, Shanlin, Fawang Liu, Ian W. Turner, Qianqian Yang e Qiang Yu. "Modelling anomalous diffusion using fractional Bloch–Torrey equations on approximate irregular domains". Computers & Mathematics with Applications 75, n.º 1 (janeiro de 2018): 7–21. http://dx.doi.org/10.1016/j.camwa.2017.08.032.
Texto completo da fonteChoquet, Catherine, e Marie-Christine Néel. "Derivation of Feynman–Kac and Bloch–Torrey Equations in a Trapping Medium". Methodology and Computing in Applied Probability 22, n.º 1 (5 de dezembro de 2018): 49–74. http://dx.doi.org/10.1007/s11009-018-9688-2.
Texto completo da fonteDing, Hengfei, e Changpin Li. "Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations". Numerical Methods for Partial Differential Equations 36, n.º 4 (10 de dezembro de 2019): 772–99. http://dx.doi.org/10.1002/num.22451.
Texto completo da fonteSun, Hong, Zhi-zhong Sun e Guang-hua Gao. "Some high order difference schemes for the space and time fractional Bloch–Torrey equations". Applied Mathematics and Computation 281 (abril de 2016): 356–80. http://dx.doi.org/10.1016/j.amc.2016.01.044.
Texto completo da fonteKenkre, V. M., Eiichi Fukushima e D. Sheltraw. "Simple Solutions of the Torrey–Bloch Equations in the NMR Study of Molecular Diffusion". Journal of Magnetic Resonance 128, n.º 1 (setembro de 1997): 62–69. http://dx.doi.org/10.1006/jmre.1997.1216.
Texto completo da fonteJochimsen, Thies H., Andreas Schäfer, Roland Bammer e Michael E. Moseley. "Efficient simulation of magnetic resonance imaging with Bloch–Torrey equations using intra-voxel magnetization gradients". Journal of Magnetic Resonance 180, n.º 1 (maio de 2006): 29–38. http://dx.doi.org/10.1016/j.jmr.2006.01.001.
Texto completo da fonteBu, Weiping, Yifa Tang, Yingchuan Wu e Jiye Yang. "Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations". Journal of Computational Physics 293 (julho de 2015): 264–79. http://dx.doi.org/10.1016/j.jcp.2014.06.031.
Texto completo da fonteXu, Tao, Fawang Liu, Shujuan Lü e Vo V. Anh. "Numerical approximation of 2D multi-term time and space fractional Bloch–Torrey equations involving the fractional Laplacian". Journal of Computational and Applied Mathematics 393 (setembro de 2021): 113519. http://dx.doi.org/10.1016/j.cam.2021.113519.
Texto completo da fonteChen, Ruige, Fawang Liu e Vo Anh. "A fractional alternating-direction implicit method for a multi-term time–space fractional Bloch–Torrey equations in three dimensions". Computers & Mathematics with Applications 78, n.º 5 (setembro de 2019): 1261–73. http://dx.doi.org/10.1016/j.camwa.2018.11.035.
Texto completo da fonteYang, Zongze, Fawang Liu, Yufeng Nie e Ian Turner. "An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains". Journal of Computational Physics 408 (maio de 2020): 109284. http://dx.doi.org/10.1016/j.jcp.2020.109284.
Texto completo da fonteXu, Tao, Fawang Liu, Shujuan Lü e Vo V. Anh. "Finite difference/finite element method for two-dimensional time–space fractional Bloch–Torrey equations with variable coefficients on irregular convex domains". Computers & Mathematics with Applications 80, n.º 12 (dezembro de 2020): 3173–92. http://dx.doi.org/10.1016/j.camwa.2020.11.007.
Texto completo da fonteDehghan, Mehdi, e Mostafa Abbaszadeh. "An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations". Applied Numerical Mathematics 131 (setembro de 2018): 190–206. http://dx.doi.org/10.1016/j.apnum.2018.04.009.
Texto completo da fonteLiu, Fawang, Libo Feng, Vo Anh e Jing Li. "Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains". Computers & Mathematics with Applications 78, n.º 5 (setembro de 2019): 1637–50. http://dx.doi.org/10.1016/j.camwa.2019.01.007.
Texto completo da fonteSayevand, K., N. Ghanbari e I. Masti. "A robust computational framework for analyzing the Bloch–Torrey equation of fractional order". Computational and Applied Mathematics 40, n.º 4 (3 de maio de 2021). http://dx.doi.org/10.1007/s40314-021-01513-7.
Texto completo da fonteMesgarani, H., Y. Esmaeelzade Aghdam e H. Tavakoli. "Numerical Simulation to Solve Two-Dimensional Temporal-Space Fractional Bloch–Torrey Equation Taken of the Spin Magnetic Moment Diffusion". International Journal of Applied and Computational Mathematics 7, n.º 3 (14 de maio de 2021). http://dx.doi.org/10.1007/s40819-021-01024-3.
Texto completo da fonteFeng, Libo, Fawang Liu e Vo V. Anh. "Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch–Torrey equation retaining Larmor precession". Mathematics and Computers in Simulation, dezembro de 2022. http://dx.doi.org/10.1016/j.matcom.2022.11.024.
Texto completo da fonteZhang, Mengchen, e Fawang Liu. "Fractional diffusion model generalised by the distributed-order operator involving variable diffusion coefficients". ANZIAM Journal 64 (23 de outubro de 2023). http://dx.doi.org/10.21914/anziamj.v64.17959.
Texto completo da fonteZhang, Mengchen, Fawang Liu, Ian W. Turner e Vo V. Anh. "A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian". Communications in Nonlinear Science and Numerical Simulation, julho de 2022, 106666. http://dx.doi.org/10.1016/j.cnsns.2022.106666.
Texto completo da fonteZhang, Mengchen, Fawang Liu, Ian Turner e Vo Anh. "A Vertex-Centred Finite Volume Method for the 3d Multi-Term Time and Space Fractional Bloch-Torrey Equation with Fractional Laplacian". SSRN Electronic Journal, 2022. http://dx.doi.org/10.2139/ssrn.4010730.
Texto completo da fonteYang, Zheyi, Chengran Fang e Jing-Rebecca Li. "Incorporating interface permeability into the diffusion MRI signal representationwhile using impermeable Laplace eigenfunctions". Physics in Medicine & Biology, 14 de agosto de 2023. http://dx.doi.org/10.1088/1361-6560/acf022.
Texto completo da fonteKaraca, Yeliz. "Fractional Calculus Operators - Bloch-Torrey Partial Differential Equation - Artificial Neural Networks-Computational Complexity Modeling of the Micro-Macrostructural Brain Tissues with Diffusion MRI Signal Processing and Neuronal Multicomponents". Fractals, 8 de setembro de 2023. http://dx.doi.org/10.1142/s0218348x23402041.
Texto completo da fonteYu, Qiang, Fawang Liu, Ian Turner e Kevin Burrage. "Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D". Open Physics 11, n.º 6 (1 de janeiro de 2013). http://dx.doi.org/10.2478/s11534-013-0220-6.
Texto completo da fonteLiu, Yi, Xiaoyun Jiang e Fawang Liu. "The finite element method for the space fractional magnetohydrodynamic flow and heat transfer on an irregular domain". ANZIAM Journal 64 (1 de novembro de 2023). http://dx.doi.org/10.21914/anziamj.v64.17912.
Texto completo da fonteLiu, Fawang, Libo Feng e Vo Anh. "Numerical Approximation of the Multi-term Time-space Fractional Bloch-Torrey Equations on Irregular Convex Domains". SSRN Electronic Journal, 2018. http://dx.doi.org/10.2139/ssrn.3286005.
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