Numerical analysis of fractional order discrete Bloch equations
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Date
2024
Authors
Murugesan, Meganathan
Santra, Shyam Sundar
Jayanathan, Leo Amalraj
Baleanu, Dumitru
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Abstract
By defining a new kind of h-extorial function with constant coefficient, this research seeks to solve discrete fractional Bloch equations. By using an extorial function of the Mittag-Leffler type, we are able to discover the general solutions for the magnetization’s Bx, By, and Bz components. These findings demonstrate the innovative method of fractional order Bloch equations. In addition, we offer a graphical representation of our results.
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Keywords
Bloch Equation, Caputo Derivative, Difference Equation, Discrete Laplace Transform, Fractional Derivative, Numerical Analysis
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Citation
Murugesan, Meganathan...et al. (2024). "Numerical analysis of fractional order discrete Bloch equations", Journal of Mathematics and Computer Science, Vol. 32, No. 3, pp. 222-228.
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Source
Journal of Mathematics and Computer Science
Volume
32
Issue
3
Start Page
222
End Page
228