Results 1 to 10 of about 231,156 (287)
Model of the telegraph line and its numerical solution [PDF]
Open 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
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Instability in Linear Cooperative Systems of Ordinary Differential Equations [PDF]
SIAM Review, 2017 It is well known that, contrary to the autonomous case, the stability/instability of solutions of nonautonomous linear ordinary differential equations $x' = A(t) x$ is in no relation to the sign of the real parts of the eigenvalues of $A(t)$. In particular, the real parts of all eigenvalues can be negative and bounded away from zero, nonetheless there ...
Janusz Mierczynski
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Mendel, 2022 This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti +2 more
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On a system of differential equations with random parameters
Современная математика: Фундаментальные направления, 2022 An explicit formula for the mathematical expectation and second moment functions of a solution to a linear system of ordinary differential equations with a random parameter and a vector random righthand side is obtained.
V. G. Zadorozhniy, G. S. Tikhomirov
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Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 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
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Well-posedness criteria for one family of boundary value problems
Қарағанды 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
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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]
Mathematica 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
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Mathematics, 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
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Mathematics, 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
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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 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
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