Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Measles is a highly contagious and potentially fatal viral disease that spreads primarily through direct contact with infected individuals. In this study, we develop a fractional measles infection ...

There are so many benefits to participating in research early in your academic career, whether your plan is going to graduate school or going into industry---or even if you don't have a plan at all ...

This set of tutorials are written at an introductory level for an engineering or physical sciences major. It is ideal for someone who has completed college level courses in linear algebra, calculus ...

Solving Ordinary Differential Equations (ODEs) is an essential and very challenging computational problem in many areas of science and engineering like physics, biology, control system, and economics.

Learn methods for interpolation, numerical integration and derivation, and finite difference methods for differential equations. You can use these live scripts as demonstrations in lectures, class ...

Abstract: A novel ordinary differential equation (ODE) solver is proposed by using a stochastic integrator to implement the accumulative function of the Euler method. We show that a stochastic ...

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As we know that the power series method is a very effective method for solving the Ordinary differential equations (ODEs) which have variable coefficient, so in this paper we have studied how to solve ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...