Results 41 to 50 of about 387,114 (225)

The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations

Advances in Difference Equations, 2019
This paper introduces the improved LS-SVM algorithms for solving two-point and multi-point boundary value problems of high-order linear and nonlinear ordinary differential equations.
Yanfei Lu, Qingfei Yin, Hongyi Li, Hongli Sun, Yunlei Yang, Muzhou Hou   +5 more
doaj   +1 more source

Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model

, 2005
We first study the properties of the Fuchsian ordinary differential equations for the three and four-particle contributions $ \chi^{(3)}$ and $ \chi^{(4)}$ of the square lattice Ising model susceptibility.
, , Arnold V I, Bateman H, Berman P, Boos H E, Borwein J M, Braaksma B L J, Broadhurst D J, Broadhurst D J, Broadhurst D J, Cabral-Rosetti L G, Chazy J, Davenport J H, Flajolet P, Flajolet P, Forsyth A R, Garnier R, Grunberg G, Guttmann A J, Hanna M, Harnad J, Ince H K, J-M Maillard, Jimbo M, Jimbo M, Katz N, Krattenthaler C, Krattenthaler C, Krattenthaler C, Liu Z-G, Maillard J M, Milne S C, N Zenine, Nappi C R, Nickel B, Nickel B, Nickel B, Ohyama Y, Ramanujan S, Rivoal T, S Boukraa, S Hassani, Salvy B, Singer M F, Tracy C A, Van der PutMand SingerMF, Van der Waal A, Van Hoeij M, Weil J-A, Weil J-A, Zenine N, Zenine N, Zenine N, Zenine N, Zenine N   +55 more
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Asymptotic relationships between two higher order ordinary differential equations

International Journal of Mathematics and Mathematical Sciences, 1983
Some asymptotic relationships between the two ordinary differential equations (1)                                                  x(n)+p1(t)x(n−1)+…+pn(t)x=0, (2)                                      y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y), are studied ...
Takasi Kusano
doaj   +1 more source

Ordinary Differential Equations

, 2017
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.An obvious question is: why does there need to be another textbook on ODEs?
openaire   +3 more sources

Ermakov-Pinney and Emden-Fowler equations: new solutions from novel B\"acklund transformations

, 2017
The class of nonlinear ordinary differential equations $y^{\prime\prime}y = F(z,y^2)$, where F is a smooth function, is studied. Various nonlinear ordinary differential equations, whose applicative importance is well known, belong to such a class of ...
Carillo, Sandra, Zullo, Federico
core   +1 more source

PYTHON IN ORDINARY DIFFERENTIAL EQUATIONS LEARNING

Barekeng
Using software in mathematics learning can improve students' soft and hard mathematics skills at the high school and college levels. Therefore, using software in the learning process is important, including in learning Differential Equations.
Sigit Sugiarto, John Nandito Lekitoo, Ratnah Kurniati MA   +2 more
doaj   +1 more source

Exponential-Krylov methods for ordinary differential equations

, 2014
This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension.
Sandu, Adrian, Tranquilli, Paul
core   +1 more source

Evanescent solutions for linear ordinary differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2002
The problem of existence of the solutions for ordinary differential equations vanishing at $\pm \infty $ is considered.
C. Avramescu
doaj   +1 more source

A reinterpretation of set differential equations as differential equations in a Banach space

, 2015
Set differential equations are usually formulated in terms of the Hukuhara differential, which implies heavy restrictions for the nature of a solution.
Rasmussen, Martin, Rieger, Janosch, Webster, Kevin   +2 more
core   +1 more source

Numerical Solution of Stieltjes Differential Equations

Mathematics, 2020
This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández, F. Adrián F. Tojo   +1 more
doaj   +1 more source