Operational matrix approach for approximate solution of fractional model of Bloch equation
In present paper operational matrix of integration for Laguerre polynomial is used to solve fractional model of Bloch equation in nuclear magnetic resonance (NMR). The operational matrix converts the Bloch equation in a system of linear algebraic equations. Solving system we obtain the approximate s...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-04-01
|
| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364716303457 |
| _version_ | 1818350002530942976 |
|---|---|
| author | Harendra Singh |
| author_facet | Harendra Singh |
| author_sort | Harendra Singh |
| collection | DOAJ |
| description | In present paper operational matrix of integration for Laguerre polynomial is used to solve fractional model of Bloch equation in nuclear magnetic resonance (NMR). The operational matrix converts the Bloch equation in a system of linear algebraic equations. Solving system we obtain the approximate solutions for fractional Bloch equation. Results are compared with existing methods and exact solution. Graphs are plotted for different fractional values of time derivatives. |
| first_indexed | 2024-12-13T18:14:55Z |
| format | Article |
| id | doaj.art-72d25796392d45c68d7e6012dcf56fa7 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-13T18:14:55Z |
| publishDate | 2017-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-72d25796392d45c68d7e6012dcf56fa72022-12-21T23:35:52ZengElsevierJournal of King Saud University: Science1018-36472017-04-0129223524010.1016/j.jksus.2016.11.001Operational matrix approach for approximate solution of fractional model of Bloch equationHarendra SinghIn present paper operational matrix of integration for Laguerre polynomial is used to solve fractional model of Bloch equation in nuclear magnetic resonance (NMR). The operational matrix converts the Bloch equation in a system of linear algebraic equations. Solving system we obtain the approximate solutions for fractional Bloch equation. Results are compared with existing methods and exact solution. Graphs are plotted for different fractional values of time derivatives.http://www.sciencedirect.com/science/article/pii/S1018364716303457Fractional model of Bloch equationNuclear magnetic resonanceOperational matrix of integrationLaguerre polynomial |
| spellingShingle | Harendra Singh Operational matrix approach for approximate solution of fractional model of Bloch equation Journal of King Saud University: Science Fractional model of Bloch equation Nuclear magnetic resonance Operational matrix of integration Laguerre polynomial |
| title | Operational matrix approach for approximate solution of fractional model of Bloch equation |
| title_full | Operational matrix approach for approximate solution of fractional model of Bloch equation |
| title_fullStr | Operational matrix approach for approximate solution of fractional model of Bloch equation |
| title_full_unstemmed | Operational matrix approach for approximate solution of fractional model of Bloch equation |
| title_short | Operational matrix approach for approximate solution of fractional model of Bloch equation |
| title_sort | operational matrix approach for approximate solution of fractional model of bloch equation |
| topic | Fractional model of Bloch equation Nuclear magnetic resonance Operational matrix of integration Laguerre polynomial |
| url | http://www.sciencedirect.com/science/article/pii/S1018364716303457 |
| work_keys_str_mv | AT harendrasingh operationalmatrixapproachforapproximatesolutionoffractionalmodelofblochequation |