2009
DOI: 10.1016/j.cap.2008.01.019
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A solution to Bloch NMR flow equations for the analysis of hemodynamic functions of blood flow system using m-Boubaker polynomials

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Cited by 92 publications
(43 citation statements)
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“…The use of the Colombian approximation 7], Newtonian laws along with the already established Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18], allowed monitoring temperature dynamical profiles. The yielded profiles could be compared successfully compared to those published by R. Rai et al [25], H. Al-Kazzaz et al [26], P. Solana et al [27], and C. S. Wu et al [28].…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The use of the Colombian approximation 7], Newtonian laws along with the already established Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18], allowed monitoring temperature dynamical profiles. The yielded profiles could be compared successfully compared to those published by R. Rai et al [25], H. Al-Kazzaz et al [26], P. Solana et al [27], and C. S. Wu et al [28].…”
Section: Resultsmentioning
confidence: 99%
“…Equation (17), it solved using the Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18]. As this form of heat loss principle is sometimes not very precise; an accurate formulation may require analysis of heat flow, based on the (transient) heat transfer equation in a nonhomogeneous, or else poorly conductive, medium.…”
Section: Boubaker Polynomials Expansion Scheme Bpesmentioning
confidence: 99%
“…Optothermal investigation has been based on variation of the Amlouk-Boubaker Optothermal expansivity ψ AB , which is a synthetic physical parameter defined and used in precedent studies [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. This parameter has been defined by…”
Section: Indium and Ytterbiummentioning
confidence: 99%
“…The Boubaker Polynomials Expansion Scheme BPES (Ghanouchi et al, 2008;Awojoyogbe & Boubaker, 2009;Labiadh & Boubaker, 2007;Slama et al, 2008Slama et al, , 2009Tabatabaei et al, 2009;Fridjine & Amlouk, 2009;Belhadj et al, 2009a;2009b, Barry & Hennessy, 2010Yildirim et al, 2010;Kumar, 2010;Milgram, 2011;Rahmanov, 2011;Benhaliliba et al,2011) is a resolution protocol which has been successfully carried out no several applied-physics and mathematics problems. …”
Section: 2a Fundamentals To the Boubaker Polynomials Expansion Schmentioning
confidence: 99%
“…The following assumptions are introduced to develop its mathematical model: The main advantage of this formulation is the evidence of verifying the boundary conditions, in advance to problem resolution thanks to the properties of the Boubaker polynomials (Awojoyogbe & Boubaker, 2009;Labiadh & Boubaker, 2007;Barry & Hennessy, 2010;Yildirim et al, 2010;Kumar, 2010;Milgram, 2011;Rahmanov, 2011), besides proposing differentiable and piecewise continuous solutions (Ghanouchi et al, 2008;Awojoyogbe & Boubaker, 2009;Benhaliliba et al,2011).…”
Section: 2b Application Of the Boubaker Polynomials Expansion Schementioning
confidence: 99%