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Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics

2016

Differential equations

Articles 1 - 7 of 7

Full-Text Articles in Physical Sciences and Mathematics

Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani Dec 2016

Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani

Applications and Applied Mathematics: An International Journal (AAM)

In this article, modified (G'/G )-expansion method is presented to establish the exact complex solutions of the time fractional Gross-Pitaevskii (GP) equation in the sense of the conformable fractional derivative. This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The present approach has the potential to be applied to other nonlinear fractional differential equations. Based on two transformations, fractional GP equation can be converted into nonlinear ordinary differential equation of integer orders. In the end, we will discuss the solutions of the fractional GP equation with external potentials.

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Spontaneous Calcium Release In Cardiac Myocytes: Store Overload And Electrical Dynamics, Amanda M. Alexander, Erin K. Denardo, Eric Frazier Iii, Michael Mccauley, Nicholas Rojina, Zana Coulibaly, Bradford E. Peercy, Leighton T. Izu May 2016

Spontaneous Calcium Release In Cardiac Myocytes: Store Overload And Electrical Dynamics, Amanda M. Alexander, Erin K. Denardo, Eric Frazier Iii, Michael Mccauley, Nicholas Rojina, Zana Coulibaly, Bradford E. Peercy, Leighton T. Izu

Spora: A Journal of Biomathematics

Heart disease is the leading cause of mortality in the United States. One cause of heart arrhythmia is calcium (Ca2+) mishandling in cardiac muscle cells. We adapt Izu's et al. mathematical reaction-diffusion model of calcium in cardiac muscle cells, or cardiomyocytes implemented by Gobbert, and analyzed in Coulibaly et al. to include calcium being released from the sarcoplasmic reticulum (SR), the effects of buffers in the SR, particularly calsequestrin, and the effects of Ca2+ influx due to voltage across the cell membrane. Based on simulations of the model implemented in parallel using MPI, our findings aligned with …

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Newton's Law Of Cooling, Caleb J. Emmons Jan 2016

Newton's Law Of Cooling, Caleb J. Emmons

Journal of Humanistic Mathematics

A poem reflecting three different viewpoints on Newton's Law of Cooling.

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1. Coffee, Ruth Dover Jan 2016

1. Coffee, Ruth Dover

Differential Equations

Newton’s Law of Cooling.

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3: Drugs And De's, Ruth Dover Jan 2016

3: Drugs And De's, Ruth Dover

Differential Equations

Making a connection between discrete recursion and differential equations.

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2. Population, Ruth Dover Jan 2016

2. Population, Ruth Dover

Differential Equations

Introduction to logistic population growth.

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4. Dragging Along, Ruth Dover Jan 2016

4. Dragging Along, Ruth Dover

Differential Equations

More information on air drag.

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