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Solving Ordinary Differential Equations in Python
Sundnes, Joakim

Ordinary differential eq... Runge-Kutta methods scientific programming Python programming object-oriented programm... difference equations …
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A tutorial on solving ordinary differential equations using Python and hybrid physics-informed neural network
Nascimento, Renato G. ; Fricke, Kajetan ; Viana, Felipe A.C.
In Engineering Applications of Artificial Intelligence November 2020 96

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3

SODES: Solving ordinary differential equations step by step
Galán–García, José Luis ; Rodríguez–Cielos, Pedro ; Galán–García, María Ángeles ; et al.
In Journal of Computational and Applied Mathematics 15 August 2023 428

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4

DFODE-Kit: Deep learning package for solving flame chemical kinetics with high-dimensional stiff ordinary differential equations
Li, Han ; Xiao, Ke ; Xu, Yangchen ; et al.
In Computer Physics Communications April 2026 321

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Solving Ordinary Differential Equations in Python
Sundnes, Joakim
Simula SpringerBriefs on Computing ; ISSN 2512-1677 2512-1685 ; ISBN 9783031467677 9783031467684

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7

A Comparative Study of One‐Step and Multi‐Step Numerical Methods for Solving Ordinary Differential Equations in Water Tank Drainage Systems
Abebe Alemu Wendimu ; Radek Matušů ; František Gazdoš ; et al.
Engineering Reports, Vol 7, Iss 3, Pp n/a-n/a (2025)

accuracy computational effort explicit and implicit multi‐step methods nonlinear ODEs one‐step methods …
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A Comparative Study of One‐Step and Multi‐Step Numerical Methods for Solving Ordinary Differential Equations in Water Tank Drainage Systems.
Alemu Wendimu, Abebe ; Matušů, Radek ; Gazdoš, František ; et al.
Engineering Reports; Mar2025, Vol. 7 Issue 3, p1-28, 28p

ORDINARY differential eq... WATER levels DIFFERENTIAL equations MANUFACTURING processes DRAINAGE
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9

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10

A thermodynamic inspired AI based search algorithm for solving ordinary differential equations.
Murugesh, V. ; Priyadharshini, M. ; Mahesh, T. R. ; et al.
Scientific Reports; 5/25/2025, Vol. 15 Issue 1, p1-24, 24p

MATHEMATICAL expansion METAHEURISTIC algorithms ARTIFICIAL intelligence ORDINARY differential eq... APPLIED mathematics BEES algorithm
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11

Deep neural network for system of ordinary differential equations: Vectorized algorithm and simulation
Dufera, Tamirat Temesgen
In Machine Learning with Applications 15 September 2021 5

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12

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13

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14

CAN CHATGPT BE USED FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS.
KOCESKI, SASO ; KOCESKA, NATASA ; LAZAROVA, LIMONKA KOCEVA ; et al.
Balkan Journal of Applied Mathematics & Informatics; 2023, Vol. 6 Issue 2, p103-114, 12p

ORDINARY differential eq... CHATGPT AUTOMATION software ARTIFICIAL intelligence NUMERICAL analysis
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15

Solving Ordinary Differential Equations in Python ; 978-3-031-46768-4.pdf
Sundnes, Joakim

Ordinary differential eq... Runge-Kutta methods scientific programming Python programming object-oriented programm... difference equations …
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16

Structuring the Python Programming Component of a Senior-Level Chemical Engineering Undergraduate Course.
Palazhchenko, Olga ; Loder, Benjamin ; Miles, Jamie ; et al.
Computers in Education Journal; 2025, Vol. 14 Issue 4, p1-27, 27p

PYTHON programming langu... CHEMICAL engineering NUCLEAR engineering UNDERGRADUATE education CURRICULUM planning SCHOLARLY peer review …
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17

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18

Ozone: an open-source ordinary differential equation solver for gradient-based optimization.
Sperry, Mark Z. ; Hwang, John T.
Optimization & Engineering; Sep2025, Vol. 26 Issue 3, p2145-2183, 39p

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19

A Comparative Study of Hybrid Analytical and Laplace Transform Approaches for Solving Partial Differential Equations in Python.
Jalili, P. ; Mahboob, M. ; Shateri, A. ; et al.
International Journal of Engineering Transactions B: Applications; Feb2024, Vol. 37 Issue 2, p352-364, 13p

LAPLACE transformation NONLINEAR differential e... PARTIAL differential equ... DISCRETIZATION methods WAVE equation NONLINEAR equations …
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20

EXPLORING THE PERFORMANCE OF CHATGPT FOR NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS.
Koceski, Saso ; Koceska, Natasa ; Lazarova, Limonka Koceva ; et al.
Journal of Technology & Science Education; 2025, Vol. 15 Issue 1, p18-34, 17p

NUMERICAL solutions to d... MACHINE learning ARTIFICIAL intelligence CHATGPT MATHEMATICAL ability
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