Results 1 to 10 of about 230,291 (288)

Model of the telegraph line and its numerical solution [PDF]

open access: yesOpen Computer Science, 2018
This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Veigend Petr   +2 more
doaj   +2 more sources

An Approximate Optimization Method for Solving Stiff Ordinary Differential Equations With Combinational Mutation Strategy of Differential Evolution Algorithm

open access: yesMendel, 2022
This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti   +2 more
doaj   +1 more source

Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks

open access: yesMathematics, 2022
A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov   +2 more
doaj   +1 more source

Well-posedness criteria for one family of boundary value problems

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
This paper considers a family of linear two-point boundary value problems for systems of ordinary differential equations. The questions of existence of its solutions are investigated and methods of finding approximate solutions are proposed.
P.B. Abdimanapova, S.M. Temesheva
doaj   +1 more source

On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations [PDF]

open access: yesMathematica Bohemica, 2021
We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value
Malkhaz Ashordia
doaj   +1 more source

Guaranteed Estimation of Solutions to the Cauchy Problem When the Restrictions on Unknown Initial Data Are Not Posed

open access: yesMathematics, 2021
The paper deals with Cauchy problems for first-order systems of linear ordinary differential equations with unknown data. It is assumed that the right-hand sides of equations belong to certain bounded sets in the space of square-integrable vector ...
Oleksandr Nakonechnyi   +2 more
doaj   +1 more source

High-precision quantum algorithms for partial differential equations [PDF]

open access: yesQuantum, 2021
Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs   +2 more
doaj   +1 more source

Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating

open access: yesMathematics, 2022
We obtain similarity transformations to reduce a system of partial differential equations representing the unsteady fluid flow and heat transfer in a boundary layer with heat generation/absorption using Lie symmetry algebra.
Muhammad Bilal   +5 more
doaj   +1 more source

On linear and nonlinear perturbations of linear systems of ordinary differential equations with constant coefficients [PDF]

open access: yesTransactions of the American Mathematical Society, 1956
where A = Re X); for a sharper result, cf. [5 ]. It is known that if (3) is altered to the condition that each element of th-1G(t) is of class L(O, oo) for a suitable number h, depending on J, then (4) can be improved to an asymptotic formula for each component of y(t); cf., e.g., [5]. It is natural to ask for theorems with assertions stronger than (4),
Hartman, Philip, Wintner, Aurel
openaire   +2 more sources

Integral equation in the theory of optimal speed of linear systems with constraints

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
Boundary-value problems with phase constraints for linear ordinary differential equations are considered. The necessary and sufficient conditions for the existence of a solution to the boundary value problems of linear ordinary differential equations ...
S.А. Aisagaliev   +2 more
doaj   +1 more source

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