Results 41 to 50 of about 516,382 (294)

Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator

, 2017
In position dependent mass (PDM) problems, the quantum dynamics of the associated systems have been understood well in the literature for particular orderings. However, no efforts seem to have been made to solve such PDM problems for general orderings to
Karthiga, S., Lakshmanan, M., Ruby, V. Chithiika, Senthilvelan, M.   +3 more
core   +1 more source

On the multiplicative Legendre equation

Journal of Taibah University for Science, 2022
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
doaj   +1 more source

New operational matrices of orthogonal Legendre polynomials and their operational

Journal of Taibah University for Science, 2019
Many conventional physical and engineering phenomena have been identified to be well expressed by making use of the fractional order partial differential equations (FOPDEs).
Imran Talib, C. Tunç, Zulfiqar Ahmad Noor   +2 more
semanticscholar   +1 more source

Numerical analysis of stochastic SIR model by Legendre spectral collocation method

Advances in Mechanical Engineering, 2019
This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

Strong oscillations of cumulants of photon distribution function in slightly squeezed states [PDF]

, 1994
The cumulants and factorial moments of photon distribution for squeezed and correlated light are calculated in terms of Chebyshev, Legendre and Laguerre polynomials.
Agarwal, Agarwal, Ansari, Artoni, Bialas, Bužek, Caves, Chaturvedi, DeWolf, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dodonov, Dremin, Dremin, Dremin, Glauber, Hollenhorst, I.M. Dremin, Klauder, Marian, P.G. Polynkin, Perina, Schleich, Shrade, Stoler, Sudarshan, V.I. Man'ko, V.V. Dodonov, Vourdas, Vourdas, Yuen, Yurke   +35 more
core   +2 more sources

A Statistical Mechanics Model to Decode Tissue Crosstalk During Graft Formation

Advanced Science, EarlyView.
We introduce a statistical mechanics framework to decode the genomic crosstalk governing plant grafting. By integrating evolutionary game theory with transcriptomics, we reconstruct idopNetworks (informative, dynamic, omnidirectional, and personalized networks) that map scion–rootstock interactions.
Ang Dong, Yihan Meng, Stephen Shing‐Toung Yau, Shing‐Tung Yau, Rongling Wu   +4 more
wiley   +1 more source

Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials [PDF]

Journal of Mahani Mathematical Research
This study introduces a novel method using the Müntz-Legendre polynomials for numerically solving fractional optimal control problems. Utilizing the unique properties of Müntz-Legendre polynomials when dealing with fractional operators, these polynomials
Mohammad Sahabi, Allahbakhsh Yazdani Cherati   +1 more
doaj   +1 more source

Fast and accurate fitting and filtering of noisy exponentials in Legendre space. [PDF]

PLoS ONE, 2014
The parameters of experimentally obtained exponentials are usually found by least-squares fitting methods. Essentially, this is done by minimizing the mean squares sum of the differences between the data, most often a function of time, and a parameter ...
Guobin Bao, Detlev Schild
doaj   +1 more source

Polynomially Interpolated Legendre Multiplier Sequences [PDF]

Computational Methods and Function Theory, 2017
We prove that every multiplier sequence for the Legendre basis which can be interpolated by a polynomial has the form $\{h(k^2+k)\}_{k=0}^{\infty}$, where $h\in\mathbb{R}[x]$. We also prove that a non-trivial collection of polynomials of a certain form interpolate multiplier sequences for the Legendre basis, and we state conjectures on how to extend ...
Chasse, Matthew, Forgács, Tamás, Piotrowski, Andrzej   +2 more
openaire   +2 more sources

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source