The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s ...The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s equation, which is solved by mixture of the new integral transform and the homotopy perturbation method under suitable conditions and the standard assumption. This method provides an analytical approximation in a rapidly convergent sequence with in exclusive manner computed terms. Its rapid convergence shows that the method is trustworthy and introduces a significant improvement in solving nonlinear partial differential equations over existing methods. It is concluded that the behaviour of concentration in longitudinal dispersion phenomenon is decreases as distance x is increasing with fixed time t > 0 and slightly increases with time t.展开更多
Although preterm birth is the delivery before 37 + 0 weeks of gestation, the majority of prema-turity-related complications occur before 33 + 0 weeks of gestation. The need of today is to select the best agent out of ...Although preterm birth is the delivery before 37 + 0 weeks of gestation, the majority of prema-turity-related complications occur before 33 + 0 weeks of gestation. The need of today is to select the best agent out of the broad spectrum of available tocolytic agents, for providing maximum benefit to unfortunate sufferers of prematurity. The study aims to assess the role of “Dermal Nitroglycerin Patch” in treatment of preterm labour. Method: Study conducted in Department of Obstetrics & Gynecology, NIMS Medical College & Hospital, Jaipur from July 2014-December 2014. A prospective randomized study of 50 women of preterm labor was enrolled after informed consent. Patients were given dermal nitroglycerin patch as tocolytic agent according to study protocol. Result: 1) Results of NTG PATCH are comparable with other tocolytic drugs in terms of successful tocolysis;2) Maternal and fetal outcome is favourable in cases of NTG PATCH USE in preterm labour;3) Side effect profile was also better with NTG Patch. Conclusion: This randomized prospective study lends support to the proportion that Transdermal Nitroglycerine (NTG Patch) may be promising safe, effective, well tolerated, cost effective and non invasive method of tocolysis.展开更多
In this paper, a reliable algorithm based on mixture of new integral transform and homotopy perturbation method is proposed to solve a nonlinear differential-difference equation arising in nanotechnology. Continuum hy...In this paper, a reliable algorithm based on mixture of new integral transform and homotopy perturbation method is proposed to solve a nonlinear differential-difference equation arising in nanotechnology. Continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as an alternative approach to describing discontinued problems. The technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Comparison of the approximate solution with the exact one reveals that the method is very effective. It provides more realistic series solutions that converge very rapidly for nonlinear real physical problems.展开更多
文摘The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s equation, which is solved by mixture of the new integral transform and the homotopy perturbation method under suitable conditions and the standard assumption. This method provides an analytical approximation in a rapidly convergent sequence with in exclusive manner computed terms. Its rapid convergence shows that the method is trustworthy and introduces a significant improvement in solving nonlinear partial differential equations over existing methods. It is concluded that the behaviour of concentration in longitudinal dispersion phenomenon is decreases as distance x is increasing with fixed time t > 0 and slightly increases with time t.
文摘Although preterm birth is the delivery before 37 + 0 weeks of gestation, the majority of prema-turity-related complications occur before 33 + 0 weeks of gestation. The need of today is to select the best agent out of the broad spectrum of available tocolytic agents, for providing maximum benefit to unfortunate sufferers of prematurity. The study aims to assess the role of “Dermal Nitroglycerin Patch” in treatment of preterm labour. Method: Study conducted in Department of Obstetrics & Gynecology, NIMS Medical College & Hospital, Jaipur from July 2014-December 2014. A prospective randomized study of 50 women of preterm labor was enrolled after informed consent. Patients were given dermal nitroglycerin patch as tocolytic agent according to study protocol. Result: 1) Results of NTG PATCH are comparable with other tocolytic drugs in terms of successful tocolysis;2) Maternal and fetal outcome is favourable in cases of NTG PATCH USE in preterm labour;3) Side effect profile was also better with NTG Patch. Conclusion: This randomized prospective study lends support to the proportion that Transdermal Nitroglycerine (NTG Patch) may be promising safe, effective, well tolerated, cost effective and non invasive method of tocolysis.
文摘In this paper, a reliable algorithm based on mixture of new integral transform and homotopy perturbation method is proposed to solve a nonlinear differential-difference equation arising in nanotechnology. Continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as an alternative approach to describing discontinued problems. The technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Comparison of the approximate solution with the exact one reveals that the method is very effective. It provides more realistic series solutions that converge very rapidly for nonlinear real physical problems.
