Results 1 to 10 of about 888,614 (325)

Numerical Solution of Stieltjes Differential Equations

Mathematics, 2020
This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández, F. Adrián F. Tojo   +1 more
doaj   +1 more source

Modified Block Method for the Direct Solution of Second Order Ordinary Differential Equations [PDF]

, 2011
The direct solution of general second order ordinary differential equations is considered in this paper. The method is based on the collocation and interpolation of the power series approximate solution to generate a continuous linear multistep method ...
Adebile, E.A., Adesanya, A.O., Anake, T. A., Awoyemi, D. O.   +3 more
core  

A Recipe for State Dependent Distributed Delay Differential Equations

, 2018
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler, Craig, Morgan, Humphries, Antony R.   +2 more
core   +1 more source

On the oscillation of solutions of ordinary differential equations of the 2nd order, with points of singularities generating redefinition of boundary conditions [PDF]

, 2021
S. V. Israilov, А.Л. Джабраилов, H. L. Gagaeva   +2 more
openalex   +1 more source

Picard-Fuchs equations for Feynman integrals

, 2013
We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within
Müller-Stach, Stefan, Weinzierl, Stefan, Zayadeh, Raphael   +2 more
core   +1 more source

Riccati technique and nonoscillation of damped linear dynamic equations with the conformable derivative on time scales

Results in Applied Mathematics
In this study, we investigate the use of damped linear dynamic equations with the conformable derivative on time scales to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential and discrete ...
Kazuki Ishibashi
doaj   +1 more source

Computational issues of solving the 1D steady gradually varied flow equation

Journal of Hydrology and Hydromechanics, 2014
In this paper a problem of multiple solutions of steady gradually varied flow equation in the form of the ordinary differential energy equation is discussed from the viewpoint of its numerical solution.
Artichowicz Wojciech, Szymkiewicz Romuald   +1 more
doaj   +1 more source

Ermakov-Pinney and Emden-Fowler equations: new solutions from novel B\"acklund transformations

, 2017
The class of nonlinear ordinary differential equations $y^{\prime\prime}y = F(z,y^2)$, where F is a smooth function, is studied. Various nonlinear ordinary differential equations, whose applicative importance is well known, belong to such a class of ...
Carillo, Sandra, Zullo, Federico
core   +1 more source

Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures [PDF]

, 2022
Zhilu Lai, Wei Liu, Xudong Jian, Kiran Bacsa, Limin Sun, Eleni Chatzi   +5 more
openalex   +1 more source

Nontrivial solutions of fourth order ordinary differential equations with nonlocal three-point boundary conditions [PDF]

, 2022
Johnny Henderson
openalex   +1 more source