Results 61 to 70 of about 53,695 (215)

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

On the Generalized Class of Multivariable Humbert-Type Polynomials

International Journal of Mathematics and Mathematical Sciences
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini, null Meenu, S. D. Purohit, D. L. Suthar   +3 more
doaj   +1 more source

An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order

, 2017
We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions $P_\nu^{-\mu}$ and $Q_\nu^{-\mu}$ of degrees $0 \leq \nu \leq 1,000,000$ and orders $-\nu \leq \mu \leq \nu$ on the interval $(-1,1)$.
Bremer, James
core   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E., Javadi, S., Moradi, E., Yousefi, A.   +3 more
core   +1 more source

Free Vibration of Hemp Fiber‐Reinforced Laminated Composite Curved Beams Using Generalized Differential Quadrature Method

Polymer Composites, EarlyView.
Schematic representation of hemp‐, glass‐, and carbon‐based laminated composite curved beams, including different stacking sequences and their vibration response. ABSTRACT In recent years, increasing environmental awareness has stimulated growing interest in natural fiber‐reinforced composites (NFRCs) due to their eco‐friendly composition ...
Aykut Çetin, Hasan Kurtaran
wiley   +1 more source

Stochastic collocation on unstructured multivariate meshes

, 2015
Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
core   +1 more source

Quantum State‐Resolved Photodissociation Dynamics Study of Transition‐Metal Carbonyl and Nitrosyl

The Chemical Record, EarlyView.
State‐resolved scattering measurements provide experimental visualization of nuclear motions in reacting molecules. Carbonyls and nitrosyls are typical ligands in most of the transition‐metal complexes, which undergo dissociation upon visible and ultraviolet photoexcitation.
Keigo Nagamori, Hiroyuki Nakata, Hiroshi Kohguchi   +2 more
wiley   +1 more source

Some Types of Identities Involving the Legendre Polynomials

Mathematics, 2019
In this paper, a new non-linear recursive sequence is firstly introduced. Then, using this sequence, a computational problem involving the convolution of the Legendre polynomial is studied using the basic and combinatorial methods.
Shimeng Shen, Li Chen
doaj   +1 more source

Legendre Polynomials Roots and the $F$-Pure Threshold of bivariate Forms

, 2020
We provide a direct computation of the $F$-pure threshold of degree four homogeneous polynomial in two variables and, more generally, of certain homogeneous polynomials with four distinct roots.
Pagi, Gilad
core