Results 11 to 20 of about 88,256,166 (248)

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

Explicit and implicit methods for second order ordinary differential equations [PDF]

open access: yes, 1980
A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
core   +6 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

Extrapolation methods for first order ordinary differential equations [PDF]

open access: yes, 1980
Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
core   +6 more sources

Controllability and optimal speed-in-action of linear systems with boundary conditions [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The paper proposes a method for solving the problem of optimal performance for linear systems of ordinary differential equations in the presence of phase and integral restrictions, when the initial and final states of the system are elements of ...
S. Aisagaliev, G.T. Korpebay
doaj   +3 more sources

ON SINGULAR SOLUTIONS OF CLAIRAUT EQUATIONS IN THE THEORY OF ORDINARY DIFFERENTIAL AND PARTIAL DERIVATIVE EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
doaj   +1 more source

Stable and effective traveling wave solutions to the non-linear fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
The space–time fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equations are used to explain the transmission of shallow water waves inside a water channel of uniform speed and constant depth.
U.H.M. Zaman   +3 more
doaj   +1 more source

Functional differential equations—a reciprocity principle

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
doaj   +1 more source

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations

open access: yesNuclear Physics B, 2020
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's ...
Michael Borinsky, Gerald V. Dunne
doaj   +1 more source

A family of difference schemes for fourth order parabolic partial differential equations [PDF]

open access: yes, 1983
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
core   +6 more sources

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