Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations by Rehana Naz, Igor Leite Freire, Imran Naeem

“…Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. …”
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Solvlng Non-Linear First Order Ordinary Differential Equations. by Taremwa, Elias

“…The main objective of the study was to compare different methods used in solving nonlinear first-order ordinary differential equations…”
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SAWI TRANSFORMATION FOR SOLVING A SYSTEM OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS by Elvina Halim, La Zakaria

“…This article describes the study of the initial value problem as a system of linear ordinary differential equations and its solution using the Sawi transformation. …”
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Jaxkineticmodel: Neural ordinary differential equations inspired parameterization of kinetic models. by Paul van Lent, Olga Bunkova, Bálint Magyar, Léon Planken, Joep Schmitz, Thomas Abeel

“…Despite their widespread use, it remains challenging to parameterize these Ordinary Differential Equations (ODE) for large scale kinetic models. …”
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On a Theory for Analysing Second-Order Systems of Ordinary Discrete Equations by J. J. H. Bashingwa, A. H. Kara

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Particle Swarm Optimization Based on Local Attractors of Ordinary Differential Equation System by Wenyu Yang, Wei Wu, Yetian Fan, Zhengxue Li

“…In this paper, we interpret PSO as a finite difference scheme for solving a system of stochastic ordinary differential equations (SODE). …”
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Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series by Muna M. Mustafa

“…In this technique Taylor series is substituted for the unknown function after differentiating both sides of linear integro-ordinary differential equation with respect to x. The required derivatives and the involved integrals have been approximated using central differences and quadrature rules respectively. …”
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New Optimal Control Problems for Wastewater Treatment with Different Types of Bacteria by Séverine Bernard, Estive Germain, Alain Piétrus

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Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations by Mehmet T. Atay, Aytekin Eryılmaz, Sure Köme

“… In this paper, Magnus Series Expansion Method which is based on Lie Groups and Lie algebras is proposed with different orders to solve nonhomogeneous stiff systems of ordinary differential equations. …”
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Ordinary differential equation model of cancer-associated fibroblast heterogeneity predicts treatment outcomes by Junho Lee, Eunjung Kim

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Using an ordinary differential equation model to separate rest and task signals in fMRI by Amrit Kashyap, Eloy Geenjaar, Patrik Bey, Kiret Dhindsa, Katharina Glomb, Sergey Plis, Shella Keilholz, Petra Ritter

“…In this study, we develop a network ordinary differential equation (ODE) model using advanced system identification tools to analyze fMRI data from both rest and task conditions. …”
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Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations by Indranil SenGupta, Maria C. Mariani

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Applications of Parameterized Nonlinear Ordinary Differential Equations and Dynamic Systems: An Example of the Taiwan Stock Index by Meng-Rong Li, Tsung-Jui Chiang-Lin, Yong-Shiuan Lee

“…Considering the phenomenon of the mean reversion and the different speeds of stock prices in the bull market and in the bear market, we propose four dynamic models each of which is represented by a parameterized ordinary differential equation in this study. …”
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Numerical Integration Error in Linear Ordinary Differential Equations—Characteristic Root Distortion by Integration by Takuya Yamakawa, Yosuke Kurihara, Kazuyuki Kobayashi, Kajiro Watanabe

“…Obtaining solutions to large-scale linear ordinary differential equations (ODEs) inevitably relies on numerical integration methods that have developed in various contexts to ultimately approximate the differentiation of continuous-time values using differences in discrete values. …”
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The Implementations of the Embedded Diagonally Implicit Type Runge-Kutta Method (EDITRKM) For Special Third Order of the Ordinary Differential Equations by Mustafa H. Jumaa, Firas A. Fawzi

“… The derivation of the Embedded pair Diagonally Implicit Type Runge-Kutta Method (EDITRKM) for solving 3rd special order ordinary differential equations (ODEs) is introduced in the current study. …”
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Strong stability algorithm for solving boundary problems in the irregular waveguide theory by A. A. Kurayev, V. V. Matveyenka, T. L. Popkova

Subjects: “…ordinary differential equations…”
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Modified Oscillation Results for Advanced Difference Equations of Second-Order by G. E. Chatzarakis, N. Indrajith, S. L. Panetsos, E. Thandapani

“…In this paper, we present a new method to establish the oscillation of advanced second-order difference equations of the form ΔηℓΔυℓ+ρℓυσℓ=0, using the ordinary difference equation ΔηℓΔυℓ+qℓυℓ+1=0. …”
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General Solution of Linear Fractional Neutral Differential Difference Equations by Hai Zhang, Jinde Cao, Wei Jiang

“…This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral inequality and the Laplace transform method, respectively. …”
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Mathematical Modelling of Disease Outbreak by Favour Christian, Matthew Molloy

“…The main mathematical concept used in this modelling simulation is ordinary differential equations (ODEs). The purpose of this study was to investigate the significance of the many criteria linked to a zombie virus spread. …”
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Optimal control applied to a model for species augmentation by Erin N. Bodine, Louis J. Gross, Suzanne Lenhart

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