Most Accessed Articles: Advances in Continuous and Discrete Modelshttps://advancesincontinuousanddiscretemodels.springeropen.comMost Accessed Articles: Advances in Continuous and Discrete ModelsBirth, growth and computation of pi to ten trillion digitshttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/1687-1847-2013-100The universal real constant pi, the ratio of the circumference of any circle and its diameter, has no exact numerical representation in a finite number of digits in any number/radix system. It has conjured up ...ResearchThu, 11 Apr 2013 00:00:00 GMThttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/1687-1847-2013-100Ravi P Agarwal, Hans Agarwal and Syamal K Sen2013-04-11T00:00:00ZOn some classes of difference equations of infinite orderhttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-015-0542-3We consider a certain class of difference equations on an axis and a half-axis, and we establish a correspondence between such equations and simpler kinds of operator equations. The last operator equations can...ResearchFri, 10 Jul 2015 00:00:00 GMThttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-015-0542-3Alexander V Vasilyev and Vladimir B Vasilyev2015-07-10T00:00:00ZFractional complex transforms for fractional differential equationshttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/1687-1847-2012-192The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples a...ResearchTue, 06 Nov 2012 00:00:00 GMThttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/1687-1847-2012-192Rabha W Ibrahim2012-11-06T00:00:00ZNumerical methods for simulation of stochastic differential equationshttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-018-1466-5In this paper we are concerned with numerical methods to solve stochastic differential equations (SDEs), namely the Euler-Maruyama (EM) and Milstein methods. These methods are based on the truncated Ito-Taylor...ResearchMon, 15 Jan 2018 00:00:00 GMThttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-018-1466-5Mustafa Bayram, Tugcem Partal and Gulsen Orucova Buyukoz2018-01-15T00:00:00ZEstimation of parameters in a structured SIR modelhttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-017-1078-5In this paper, an age-structured epidemiological process is considered. The disease model is based on a SIR model with unknown parameters. We addressed two important issues to analyzing the model and its param...ResearchFri, 27 Jan 2017 00:00:00 GMThttps://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-017-1078-5Begoña Cantó, Carmen Coll and Elena Sánchez2017-01-27T00:00:00Z