المؤلفون: Feng, Libo, Liu, Fawang, Anh, Vo V.

المصدر: Mathematics and Computers in Simulation

مصطلحات موضوعية: Fast algorithm, Fractional Bloch–Torrey equation, Galerkin finite element method, Tempered operator, Unstructured mesh

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/243093/1/144302264.pdf; Feng, Libo, Liu, Fawang, & Anh, Vo V. (2023) 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, 206, pp. 517-537.; http://purl.org/au-research/grants/arc/DP190101889; http://purl.org/au-research/grants/arc/DP180103858; https://eprints.qut.edu.au/243093/; Faculty of Science; School of Mathematical Sciences

الاتاحة: https://eprints.qut.edu.au/243093/

المؤلفون: Yang, Qianqian, Reutens, David C., Vegh, Viktor

المصدر: NeuroImage

مصطلحات موضوعية: Ageing, Anomalous diffusion, Continuous time random walk, Corpus callosum, Diffusion MRI, Diffusional kurtosis imaging, Fractional Bloch-Torrey equation, High b-value, Quasi-diffusion, Sub-diffusion, Super-diffusion

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/233080/1/1_s2.0_S1053811922000337_main.pdf; Yang, Qianqian, Reutens, David C., & Vegh, Viktor (2022) Generalisation of continuous time random walk to anomalous diffusion MRI models with an age-related evaluation of human corpus callosum. NeuroImage, 250, Article number: 118903.; http://purl.org/au-research/grants/arc/DE150101842; http://purl.org/au-research/grants/arc/DP190101889; https://eprints.qut.edu.au/233080/; Centre for Biomedical Technologies; Faculty of Science; School of Mathematical Sciences; Faculty of Engineering

الاتاحة: https://eprints.qut.edu.au/233080/

المؤلفون: Zhang, Mengchen

مصطلحات موضوعية: Anomalous diffusion, Fractional Bloch-Torrey equation, Finite volume method, Diffusion-weighted magnetic resonance imaging, Numerical simulations, Finite element methods, Variable coefficients

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/240780/1/Mengchen%2BZhang%2BThesis.pdf; Zhang, Mengchen (2023) Fractional dynamic models and numerical simulations of the anomalous diffusion in the human brain. PhD by Publication, Queensland University of Technology.; https://eprints.qut.edu.au/240780/; Faculty of Science; School of Mathematical Sciences

الاتاحة: https://eprints.qut.edu.au/240780/

المؤلفون: Yu Qiang, Liu Fawang, Turner Ian, Burrage Kevin

المصدر: Open Physics, Vol 11, Iss 6, Pp 646-665 (2013)

مصطلحات موضوعية: fractional bloch-torrey equation, fractional centered difference, implicit numerical method, matrix transfer technique, bounded domains, Physics, QC1-999

وصف الملف: electronic resource

Relation: https://doaj.org/toc/2391-5471

URL الوصول: https://doaj.org/article/86678d5d225343e3b9ab4764b21e2cde

المؤلفون: Song, J., Yu, Qiang, Liu, Fawang, Turner, Ian

المصدر: Numerical Algorithms

مصطلحات موضوعية: Convergence, Fractional Bloch-Torrey equation, Fractional calculus, Fractional centered difference, Implicit numerical method, Solvability, Stability

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/76965/1/UQ340980_postprint.pdf; Song, J., Yu, Qiang, Liu, Fawang, & Turner, Ian (2014) A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Numerical Algorithms, 66(4), pp. 911-932.; http://purl.org/au-research/grants/arc/DP120103770; https://eprints.qut.edu.au/76965/; Institute for Future Environments; Science & Engineering Faculty; School of Mathematical Sciences

الاتاحة: https://eprints.qut.edu.au/76965/

المؤلفون: Yu, Qiang, Liu, Fawang, Turner, Ian, Burrage, Kevin

المصدر: Applied Mathematics and Computation

مصطلحات موضوعية: Alternating direction method, Convergence, Fractional Bloch-Torrey equation, Fractional calculus, Implicit numerical method, Stability

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/60023/1/Liu30_revised_AMC_FDA12_y12m10d15.pdf; Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Applied Mathematics and Computation, 219(8), pp. 4082-4095.; http://purl.org/au-research/grants/arc/DP120103770; http://purl.org/au-research/grants/arc/DP1094333; https://eprints.qut.edu.au/60023/; Science & Engineering Faculty

الاتاحة: https://eprints.qut.edu.au/60023/

المؤلفون: Chen, Ruige, Liu, Fawang, Anh, Vo

المصدر: Computers and Mathematics with Applications

مصطلحات موضوعية: Alternating-direction method, Convergence, Fractional Bloch–Torrey equation, Fractional centred difference, Multi-term time–space fractional PDEs, Stability

Relation: Chen, Ruige, Liu, Fawang, & Anh, Vo (2019) A fractional alternating-direction implicit method for a multi-term time–space fractional Bloch–Torrey equations in three dimensions. Computers and Mathematics with Applications, 78(5), pp. 1261-1273.; http://purl.org/au-research/grants/arc/DP180103858; http://purl.org/au-research/grants/arc/DP160101366; https://eprints.qut.edu.au/213804/; Science & Engineering Faculty

الاتاحة: https://eprints.qut.edu.au/213804/

المؤلفون: Kevin Burrage, Fawang Liu, Qiang Yu, Ian Turner

المصدر: Open Physics, Vol 11, Iss 6, Pp 646-665 (2013)

مصطلحات موضوعية: Discretization, Anomalous diffusion, bounded domains, Operator (physics), Physics, QC1-999, General Physics and Astronomy, fractional bloch-torrey equation, fractional centered difference, Domain (mathematical analysis), Fractional calculus, Matrix (mathematics), symbols.namesake, Dirichlet boundary condition, symbols, Applied mathematics, implicit numerical method, Fractional quantum mechanics, matrix transfer technique, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::809843182a26d731b6a75a107dbff016
https://doaj.org/article/86678d5d225343e3b9ab4764b21e2cde

المؤلفون: Yu, Qiang, Liu, Fawang, Turner, Ian, Burrage, Kevin

المساهمون: Sun, H, Cheng, W, Baleanu, D

المصدر: Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications

مصطلحات موضوعية: Fractional Bloch-Torrey Equation, alternating direction method, convergence, fractional calculus, implicit numerical method, stability

Relation: Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Alternating direction implicit numerical method for the space and time fractional Bloch-Torrey equation in 3-D. In Sun, H, Cheng, W, & Baleanu, D (Eds.) Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications. Hohai University, China, pp. 1-8.; https://eprints.qut.edu.au/51437/; Science & Engineering Faculty

الاتاحة: https://eprints.qut.edu.au/51437/

المؤلفون: Song, J., Yu, Qiang, Liu, Fawang, Turner, Ian

المساهمون: Sun, H, Cheng, W, Baleanu, D

المصدر: Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications

مصطلحات موضوعية: Fractional Bloch-Torrey Equation, convergence, fractional calculus, fractional centered difference, implicit numerical method, stability

Relation: http://em.hhu.edu.cn/fda12/; Song, J., Yu, Qiang, Liu, Fawang, & Turner, Ian (2012) A new implicit numerical method for the space and time fractional Bloch-Torrey equation. In Sun, H, Cheng, W, & Baleanu, D (Eds.) Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications. Hohai University, China, pp. 1-9.; https://eprints.qut.edu.au/51444/; Science & Engineering Faculty

الاتاحة: https://eprints.qut.edu.au/51444/

المؤلفون: Yu, Q., Liu, F., Turner, I., Burrage, K.

مصطلحات موضوعية: Convergence, Implicit numerical method, Space and time fractional Bloch-Torrey equation, Stability, 2200 Engineering, 2600 Mathematics, 3100 Physics and Astronomy

Relation: orcid:0000-0002-2664-8310; Not set

الاتاحة: https://espace.library.uq.edu.au/view/UQ:320629/UQ320629_postprint.pdf
https://espace.library.uq.edu.au/view/UQ:320629

المؤلفون: Yu Q., Liu F., Turner I., Burrage K.

مصطلحات موضوعية: Bounded domains, Fractional Bloch-Torrey equation, Fractional centered difference, Implicit numerical method, 3100 Physics and Astronomy

Relation: orcid:0000-0002-2664-8310; Not set; DP120103770

الاتاحة: https://espace.library.uq.edu.au/view/UQ:320628/UQ320628_postprint.pdf
https://espace.library.uq.edu.au/view/UQ:320628

المؤلفون: Yu, Q., Liu, F., Turner, I., Burrage, K.

مصطلحات موضوعية: Alternating direction method, Convergence, Fractional Bloch-Torrey equation, Fractional calculus, Implicit numerical method, Stability, 2604 Applied Mathematics, 2605 Computational Mathematics

Relation: orcid:0000-0002-2664-8310; DP1094333

الاتاحة: https://espace.library.uq.edu.au/view/UQ:320626

المؤلفون: Yu, Qiang

مصطلحات موضوعية: Fractional calculus, Anomalous diffusion, Fractional Bloch-Torrey equation, Numerical methods, Medical imaging

وصف الملف: application/pdf

Relation: https://eprints.qut.edu.au/62068/1/Qiang_Yu_Thesis.pdf; Yu, Qiang (2013) Numerical simulation of anomalous diffusion with application to medical imaging. PhD by Publication, Queensland University of Technology.; https://eprints.qut.edu.au/62068/; Science & Engineering Faculty; School of Electrical Engineering & Computer Science; School of Mathematical Sciences

الاتاحة: https://eprints.qut.edu.au/62068/

المؤلفون: Q. Yua, F. Liu, I. Turnera, K. Burragea

المساهمون: The Pennsylvania State University CiteSeerX Archives

المصدر: http://eprints.qut.edu.au/60023/1/Liu30_revised_AMC_FDA12_y12m10d15.pdf.

مصطلحات موضوعية: Key words, Fractional Bloch-Torrey Equation

وصف الملف: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.652.2864; http://eprints.qut.edu.au/60023/1/Liu30_revised_AMC_FDA12_y12m10d15.pdf

الاتاحة: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.652.2864
http://eprints.qut.edu.au/60023/1/Liu30_revised_AMC_FDA12_y12m10d15.pdf