This library provides ordinary differential equation (ODE) solvers implemented in PyTorch. Backpropagation through all solvers is supported using the adjoint method. For usage of ODE solvers in deep ...

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential ...

Abstract 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 ...

Recently, numerical solutions for Ordinary Differential Equations (ODEs) based on fourth-order Runge-Kutta method and fast Euler method are becoming more popular, however, necessary large memory and ...

Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial value ...

Over the last decade, the need to solve large stiff and nonstiff ordinary differential equation systems (initial value problems) has led to considerable software, mostly based on the methods of Adams ...

We reduce the complexities of cancer progression to a simple set of underlying rules that govern the transformation of normal cells to malignant cells. In doing so, we derive an ordinary differential ...