Results 71 to 80 of about 290,072 (190)
Using Chebyshev Polynomials to Approximate Partial Differential Equations [PDF]
Computational Economics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guglielmo Maria Caporale, Mario Cerrato
openaire +4 more sources
Polynomial Solutions of Differential Equations
, 2010 We show that any differential operator of the form $L(y)=\sum_{k=0}^{k=N} a_{k}(x) y^{(k)}$, where $a_k$ is a real polynomial of degree $\leq k$, has all real eigenvalues in the space of polynomials of degree at most n, for all n. The eigenvalues are given by the coefficient of $x^n$ in $L(x^{n})$.
Azad, H., Mustafa, M. T.
openaire +2 more sources
Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays
Complexity, 2020 An algorithm using the differential transformation which is convenient for finding numerical solutions to initial value problems for functional differential equations is proposed in this paper.
Josef Rebenda, Zuzana Pátíková
doaj +1 more source
Bases in the solution space of the Mellin system
, 2006 Local holomorphic solutions z=z(a) to a univariate sparse polynomial equation p(z) =0, in terms of its vector of complex coefficients a, are classically known to satisfy holonomic systems of linear partial differential equations with polynomial ...
Dickenstein, Alicia, Sadykov, Timur
core +2 more sources
MathematicsIn this paper, we introduce the Hermite wavelet method (HWM), a numerical method for the fractional-order Bagley–Torvik equation (BTE) solution. The recommended method is based on a polynomial called the Hermite polynomial.
Yimiao Zhang +3 more
doaj +1 more source
The Extended Trial Equation Method for Some Time Fractional Differential Equations
Discrete Dynamics in Nature and Society, 2013 Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir +2 more
doaj +1 more source
A General Differential Equation for Classical Polynomials [PDF]
Proceedings of the American Mathematical Society, 1971 Agrawal and Khanna [1] have derived the two partial differential equations satisfied by the polynomial set B n ( x , y ) {B_n}(x,y) . In this paper we shall present a generalization of these results.
openaire +1 more source
Advances in Difference Equations, 2017 We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
doaj +1 more source
Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
core +1 more source
Open PhysicsIn this article, we mainly study new soliton solutions of the conformable time fractional Drinfel’d–Sokolov–Wilson (DSW) equation which has applications in a wide range of practical applications, including fluid dynamics problems.
Shi Da, Li Zhao
doaj +1 more source