Nature

A Treatise on Ordinary and Partial Differential Equations

WE have read Prof. Woolsey Johnson's work with some interest: his style is clear, and the worked-out examples well adapted to elucidate the points the writer wishes to bring out. He appears to ...
GitHub

Ordinary-Differential-Equations-Solutions-Manual-By-Agarwal-pdf-free-download-otp1qk.md

Congratulations on Your Purchase! This manual celebrates your new Ordinary Differential Equations Solutions Manual By Agarwal and provides a roadmap to its successful operation. Before you begin using ...
Nature

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
Simon Fraser University

Ordinary Differential Equations

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...
PNAS

Bridging the gap between models based on ordinary, delayed, and fractional differentials equations through integral kernels

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...
Frontiers

HiDeS: a higher-order-derivative-supervised neural ordinary differential equation for multi-robot systems and opinion dynamics

This paper addresses the limitations of current neural ordinary differential equations (NODEs) in modeling and predicting complex dynamics by introducing a novel framework called ...
JSTOR Daily

Parametric Estimation of Ordinary Differential Equations With Orthogonality Conditions

Differential equations are commonly used to model dynamical deterministic systems in applications. When statistical parameter estimation is required to calibrate theoretical models to data, classical ...
Scientific Research Publishing

Elkazi, T.M. and Elkazi, S.M. (2011) On the Elkazi Transform and Ordinary Differential Equations with Variable Coefficients. Advanced in Theoretical and Applied Mathematics, 6 ...

ABSTRACT: In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is ...
Scientific Research Publishing

A Five-Step P-Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations ()

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. Department of Mathematics, Ambrose Alli University, Ekpoma, Nigeria. Department ...
IEEE

Explainable Tensorized Neural Ordinary Differential Equations for Arbitrary-Step Time Series Prediction

Abstract: In this work, we propose a continuous neural network architecture, referred to as Explainable Tensorized Neural - Ordinary Differential Equations (ETN-ODE) network for multi-step time series ...