Results 61 to 70 of about 4,013 (146)

Process Mathematics: Classical Analysis Without Completed Infinity [PDF]

We develop a formal framework for classical mathematical analysis in which infinity is treated as a property of processes rather than completed objects (Principle P4 of the Theory of Systems).
Horsocrates, Aleksandr
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Looking at Radif and its Functions in Khaghani’s Poem [PDF]

Literary Arts, 2013
According to researchers, radifs can be one of the main components of the ancient Persian poetry made by Iranian talent and muse. Radif as one of the pillars of the side music, has played a major role in classical Persian poetry, and Persian poets have 
Mohammad Enayati, Masood Roohani
doaj  

Meromorphic solutions of complex differential equations

, 2014
The objective of this thesis is to study meromorphic solutions of complex algebraic ordinary differential equations (ODEs). The thesis consists of two main themes.
吳成發, Wu, Chengfa
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High-Order Special Two-Derivative Runge–Kutta Pairs

Mathematics
This paper presents the development and analysis of novel explicit special two-derivative Runge–Kutta (STDRK) pairs for the numerical integration of ordinary differential equations (ODEs), with a focus on achieving seventh-order accuracy and embedded ...
Ibraheem Alolyan, Theodore E. Simos, Charalampos Tsitouras   +2 more
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Nonlocal Extensions of First Order Initial Value Problems

We study certain Volterra integral equations that extend and recover first order ordinary differential equations (ODEs). We formulate the former equations from the latter by replacing classical derivatives with nonlocal integral operators with anti ...
Ravi Shankar
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Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control [PDF]

, 1998
A family {(O[sub h])} of parametric optimal control problems for nonlinear ODEs is considered. The problems are subject to pointwise inequality type state constraints. It is assumed that the reference solution is regular. The original problems (O[sub h])
Malanowski, K.
core  

An efficient quantum algorithm for simulating polynomial differential equations

, 2023
We present an efficient quantum algorithm to simulate nonlinear differential equations with polynomial vector fields of arbitrary degree on quantum platforms.
Sahai, Tuhin, Gnanasekaran, Abeynaya, Surana, Amit   +2 more
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Lightweight neural ordinary differential equations for learning adsorption kinetics across analytical and diffusion controlled models

Discover Applied Sciences
Adsorption kinetics is a critical feature of the pollutant removal process in water purification, wastewater treatment and environmental remediation that can be modeled as dynamical systems.
Basab Nath, Sagar Tamang, Yonis Gulzar, Badamasi Imam Ya’u, Shahad Albannay, Ayoub Lone   +5 more
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A multi-layer neural network-based evaluation of MHD radiative heat transfer in Eyring–Powell fluid model

Heliyon
In the modern era, artificial intelligence (AI) has been applied as one of the transformative factors for scientific research in many fields that could provide new solutions to extremely complicated and complex physical models.
Muflih Alhazmi, Zahoor Shah, Muhammad Asif Zahoor Raja, Nafisa A. Albasheir, Maryam Jawaid   +4 more
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Solving Fuzzy Ordinary Differential Equations Using Homotopy Analysis Method [PDF]

Fuzzy ordinary differential equations (FODEs) extend classical ordinary differential equations (ODEs) to systems characterized by uncertainty and imprecision, often modeled using fuzzy set theory.
Elshegmani, Zieneb A., Abdulmula, Karema S.   +1 more
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