Results 31 to 40 of about 896,632 (275)

Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method

International Journal of Differential Equations, 2021
In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative.
Shailesh A. Bhanotar, Mohammed K. A. Kaabar   +1 more
doaj   +1 more source

Weight Function Method for computations of crack face displacements and stress intensity factors of center cracks [PDF]

Fracture and Structural Integrity, 2015
The weight function method provides a powerful and reliable tool for the determination of the stress intensity factor around the crack tip in a linearly elastic cracked solid subjected to arbitrary loading conditions.
Junling Fan, Dengke Dong, Li Chen, Xianmin Chen, Xinglin Guo   +4 more
doaj   +3 more sources

Higher Order Derivatives in Costa's Entropy Power Inequality [PDF]

, 2015
Let $X$ be an arbitrary continuous random variable and $Z$ be an independent Gaussian random variable with zero mean and unit variance. For $t~>~0$, Costa proved that $e^{2h(X+\sqrt{t}Z)}$ is concave in $t$, where the proof hinged on the first and second
Cheng, Fan, Geng, Yanlin
core   +1 more source

Partial Derivatives Estimation of Multivariate Variance Function in Heteroscedastic Model via Wavelet Method

Axioms
For derivative function estimation, conventional research only focuses on the derivative estimation of one-dimensional functions. This paper considers partial derivatives estimation of a multivariate variance function in a heteroscedastic model.
Junke Kou, Hao Zhang
doaj   +1 more source

Depth-Extrapolation-Based True-Amplitude Full-Wave-Equation Migration from Topography

Applied Sciences, 2021
The lack of an initial condition is one of the major challenges in full-wave-equation depth extrapolation. This initial condition is the vertical partial derivative of the surface wavefield and cannot be provided by the conventional seismic acquisition ...
Hao Liu, Xuewei Liu
doaj   +1 more source

Combinatorics of Partial Derivatives [PDF]

The Electronic Journal of Combinatorics, 2006
The natural forms of the Leibniz rule for the $k$th derivative of a product and of Faà di Bruno's formula for the $k$th derivative of a composition involve the differential operator $\partial^k/\partial x_1 \cdots \partial x_k$ rather than $d^k/dx^k$, with no assumptions about whether the variables $x_1,\dots,x_k$ are all distinct, or all identical, or
openaire   +3 more sources

Nonlinear problems with solutions exhibiting a free boundary on the boundary [PDF]

, 2005
We prove existence of nonnegative solutions to -Delta u + u = 0 on a smooth bounded domain Omega subject to the singular boundary derivative condition partial derivative u/partial derivative v = -u(-beta) + lambda f (x, u) on partial derivative Omega ...
Dávila, Juan, Montenegro, Marcelo
core   +2 more sources

Schur partial derivative operators

European Journal of Combinatorics, 2005
8 pages ...
Aval, J.-C., Bergeron, N.
openaire   +3 more sources

Multiparameter Estimation of PMSM Combining Mechanical and Electrical Models with Nonlinear Saturated Inductance and Voltage Fitting

CES Transactions on Electrical Machines and Systems
In this paper, a precise and computationally efficient method for estimating multiparameter of permanent magnet synchronous motors (PMSMs) is proposed.
Lupeng Yang, Yuting Lu, Guodong Feng, Yu Han   +3 more
doaj   +1 more source

Dominating polynomial in power series expansion for analytic functions in a complete Reinhardt domain

Математичні Студії
We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic functions in a complete multiple circular domain, where $\mathbf{L}(z)=(l_1(z_1,z_2,\ldots,z_n),$ $l_{2}(z_1,z_2,\ldots,z_n),$ $\ldots,$ $l_{n}(z_1,z_2 ...
A. I. Bandura, T.M. Salo
doaj   +1 more source