A new numerical algorithm for fractional model of Bloch equation in nuclear magnetic resonance

Singh, Harendra

dc.contributor.author	Singh, Harendra
dc.date.accessioned	2020-02-20T06:48:22Z
dc.date.available	2020-02-20T06:48:22Z
dc.date.issued	2016-07-18
dc.identifier.issn	11100168
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/640
dc.description.abstract	This paper presents a new algorithm based on operational matrix of fractional integrations for fractional Bloch equation in Nuclear Magnetic Resonance (NMR). For construction of operational matrix Legendre scaling functions are used as a basis. Using this operational matrix in the equations, we obtain approximate solutions for fractional Bloch equation. Convergence as well as error of the proposed method is given. Results are also compared with known solution. Absolute errors graph are plotted to show the accuracy of proposed new algorithm.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Convergence analysis	en_US
dc.subject	Error analysis	en_US
dc.subject	Fractional derivative	en_US
dc.subject	Fractional model of Bloch equation	en_US
dc.subject	Nuclear magnetic resonance	en_US
dc.subject	Operational matrix	en_US
dc.title	A new numerical algorithm for fractional model of Bloch equation in nuclear magnetic resonance	en_US
dc.type	Article	en_US