Results 41 to 50 of about 242,665 (215)
Results in Physics, 2019 In our research, we ascertain abundant novel exact traveling wave solutions of (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new modified mathematical methods namely called generalized direct algebraic ...
Aly R. Seadawy +2 more
doaj +1 more source
Ain Shams Engineering Journal, 2013 A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj +1 more source
Self-adjoint differential-algebraic equations [PDF]
Mathematics of Control, Signals, and Systems, 2013 Oberwolfach Preprints;2011 ...
Kunkel, Peter +2 more
openaire +3 more sources
A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems
Journal of Applied Mathematics, 2013 In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh +3 more
doaj +1 more source
Algebraic treatment of the Pais-Uhlenbeck oscillator and its PT-variant
, 2019 The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint.
Fernández, Francisco M.
core +1 more source
On the History of Differential-Algebraic Equations [PDF]
, 2017 The present article takes an off-the-wall approach to the history of Differential-Algebraic Equations and uses personal side trips and memories of conferences, workshops, and summer schools to highlight some of the milestones in the field. Emphasis is in particular placed on the application fields that set the ball rolling and on the development of ...
openaire +4 more sources
LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 1995 A certain representation for the Heisenberg algebra in finite difference operators is established. The Lie algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl 2-algebra based approach, (quasi)-exactly-solvable finite difference equations are described.
Yuri F. Smirnov, Alexander V. Turbiner
openaire +3 more sources
The motions of algebraic differential equations [PDF]
Glasgow Mathematical Journal, 1984 We confine ourselves, for simplicity, to first-order algebraic differential equations (ADE's), although analogous considerations may be made for higher-order ADE's:P(x, y(x), y'(x)) = 0. (*)A motion of (*) is a change of independent variable that takes solutions to solutions, that is, a suitable map <p of the underlying interval I into itself so ...
openaire +3 more sources
On differential–algebraic equations in infinite dimensions [PDF]
Journal of Differential Equations, 2019 We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical continuously differential solutions for the associated DAE.
Trostorff, Sascha, Waurick, Marcus
openaire +4 more sources
Mathematics, 2020 Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai +4 more
doaj +1 more source