Results 71 to 80 of about 242,665 (215)

An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials

, 2013
Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second order differential equation.
Akcay, Huseyin, Sever, Ramazan
core   +1 more source

A hybrid collocation method based on combining the third kind Chebyshev polynomials and block-pulse functions for solving higher-order initial value problems

Kuwait Journal of Science, 2016
The purpose of this paper is to propose a new collocation method for solving linear and nonlinear differential equations of high order as well as solving the differential equation on a very large interval.
Saeid Jahangiri, khosrow maleknejad, Majid Tavassoli Kajani   +2 more
doaj  

Converting DAE Models to ODE Models: Application to Reactive Rayleigh Distillation

Chemical Engineering Transactions, 2013
This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
K. Alloula, F. Monfreda, R. Thery Hetreux, J.P. Belaud   +3 more
doaj   +1 more source

An Integro-Differential Structure for Dirac Distributions

, 2018
We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
core  

An existence theorem in the algebraic study of homogeneous linear ordinary differential equations [PDF]

, 1955
M. P. Epstein
openalex   +2 more sources

Genetic algorithm for design optimization of multibody dynamics using differential–algebraic equation integrators

Advances in Mechanical Engineering, 2015
Based on the general model of design optimization of multibody dynamics, a modified genetic algorithm with adaptive crossover and mutation rates is developed to find optimal design variables which satisfy the dynamic constraints and obtain optimum ...
Jieyu Ding
doaj   +1 more source

An approximate solution of the Blasius problem using spectral method

Partial Differential Equations in Applied Mathematics
This paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat, Azad Akhter Siddiqui, M. Huzaifa Yaseen, M. Ijaz Khan, Barno Sayfutdinovna Abdullaeva, M. Waqas, Manish Gupta   +6 more
doaj   +1 more source

Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
openaire   +4 more sources

Asymptotic Forms and Algebraic Differential Equations

Journal of Symbolic Computation, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bruno Salvy, John Shackell
openaire   +2 more sources

On algebraic solutions of Lamé's differential equation

Journal of Differential Equations, 1981
In two previous papers [ 1, 21 we reconsidered and improved Klein’s method for establishing whether a given second order linear differential equation with rational function coefficients (over an algebraic curve) has a full set of algebraic solutions.
openaire   +4 more sources