Cells process dynamic signaling inputs to regulate fate decisions during development. While oscillations or waves in key developmental pathways, such as Wnt, have been widely observed, the principles ...

Mastered trigonometry? Conquered calculus? Differential equations await the intrepid math scholar...and the Standard Deviants are ready to help! This video covers the basics: First order differential ...

To solve it, first fill in the numbered blanks by deciphering the clues. As an added help to the solver, the first letters of the clues are arranged in alphabetical order, though every letter of the ...

For homogeneous linear first-order differential equations, it is shown that Picard’s method of successive approximations is effective to furnish a closed-form solution even if the coefficient is an ...

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

Abstract: The concept of Ulam-Hyers stability for differential equations of the first and second order with generalized actions is formalized. For these equations, sufficient conditions for stability ...

I'm a physicist and I'm working with PINNs and other similar algorithms for the last three years to numerically solve differential equations. Some of these differential equations of my interest have ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...

1 Institute for Nonlinear Mechanics, Stuttgart, Germany. 2 Instituto Tecnológico Superior de Uruapan, Uruapan, México. The finite element method has established itself as an efficient numerical ...

Riccati equations are a natural next step after you’ve studied linear differential equations. Linear first-order ordinary differential equations look like this: I think I finally get why they’re ...