Results 51 to 60 of about 4,323 (242)

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
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

A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

Advances in Difference Equations, 2018
This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–Fowler equations.
Yunlei Yang, Muzhou Hou, Jianshu Luo
doaj   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen, Filip Szczepankiewicz   +1 more
wiley   +1 more source

Multifractal Analysis of Unstable Polynomial Entropies in Partially Hyperbolic Systems

Fractal and Fractional
We investigate the multifractal structure of unstable local polynomial entropies for arbitrary Borel probability measures in partially hyperbolic dynamical systems.
Yangmei Mu, Lei Liu
doaj   +1 more source

Analysis of the fractional scattering contribution in the forward peak for multicomponent systems

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Derivation and justification of mixing rules for multicomponent systems. A novel formulation of the delta‐Eddington scaling rule. Analytical guidance for comparing radiative transfer results. Abstract The widely used δ‐Eddington approximation improves the accuracy of radiative transfer calculations by representing the fraction of scattering into the ...
Jiangnan Li, Yue Cai
wiley   +1 more source

Option pricing with Legendre polynomials

Journal of Computational and Applied Mathematics, 2017
Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density function rapidly and accurately. Based on this representation for the density function, approximations formulas for
Julien Hok, Tat Lung (Ron) Chan
openaire   +3 more sources

Spatial signatures of group cohesion

Methods in Ecology and Evolution, EarlyView.
Abstract Wildlife populations are undergoing unprecedented changes to their spatial distributions as a result of human activities. Innovative approaches are needed to document these changes, especially in cases where sampling is sparse. Here, we contribute to the tools available in spatial ecology by developing novel metrics based on the coefficient of
Nicola E. Love, Sarah P. Otto
wiley   +1 more source

The Product of Two Legendre Polynomials [PDF]

Proceedings of the Glasgow Mathematical Association, 1953
1. It is known that any polynomial in μ. can be expanded as a linear function of Legendre polynomials [1]. In particular, we haveThe earlier coefficients, say A0, A2, A4 may easily be found by equating the coefficients of μp+q, μp+q-2, μp+q-4 on the two sides of (1).
openaire   +2 more sources

Residual permutation tests for feature importance in machine learning

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Psychological research has traditionally relied on linear models to test scientific hypotheses. However, the emergence of machine learning (ML) algorithms has opened new opportunities for exploring variable relationships beyond linear constraints.
Po‐Hsien Huang
wiley   +1 more source