Results 11 to 20 of about 22,791 (274)

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

open access: yes, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core   +7 more sources

Finite-difference solutions of tenth-order boundary-value problems [PDF]

open access: yes, 1994
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
core   +7 more sources

Spatio-temporal numerical modelling of whooping cough dynamics [PDF]

open access: yes, 2001
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The SIR (Susceptible/Infectious/Recovered) whooping cough model involving nonlinear ordinary differential equations is studied and extended to incorporate (
Piyawong, Wirawan
core   +7 more sources

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core   +5 more sources

An introduction to regular splines and their application for initial value problems of ordinary differential equations [PDF]

open access: yes, 1975
This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
core   +6 more sources

Constraining Gaussian Processes to Systems of Linear Ordinary Differential Equations

open access: yesAdvances in Neural Information Processing Systems 35, 2022
Data in many applications follows systems of Ordinary Differential Equations (ODEs). This paper presents a novel algorithmic and symbolic construction for covariance functions of Gaussian Processes (GPs) with realizations strictly following a system of linear homogeneous ODEs with constant coefficients, which we call LODE-GPs.
Andreas Besginow, Markus Lange-Hegermann
openaire   +3 more sources

CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT

open access: yesUral Mathematical Journal, 2023
For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used.
Yuri F. Dolgii
doaj   +1 more source

On Homogeneous Descriptor Systems and Homogeneity-Based Finite-Time Control of Linear Descriptor Systems

open access: yesIEEE Access, 2022
A new definition of homogeneity for descriptor systems is introduced. The homogeneity property can be verified algebraically, and, as for systems described by ordinary differential equations only, it implies scalability of solutions.
Dmitry E. Konovalov   +4 more
doaj   +1 more source

On a linear system of differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Systems of ordinary linear integrodifferential equations [PDF]

open access: yesApplications of Mathematics, 1959
Transient phenomena of linear physical systems (electrical, mechanical, acoustical circuits) furnish often systems of ordinary linear integro-differential equations which are not easy to solve. The existing techniques of solutions of such systems often refer to Laplace transforms.
openaire   +1 more source

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