Results 71 to 80 of about 90,668 (272)
Systems of multi-dimensional Laplace transforms and a heat equation
Electronic Journal of Differential Equations, 2001 The object of this paper is to establish several new theorems involving systems of two-dimensional Laplace transforms containing five to seven equations. These systems can be used to calculate new Laplace transform pairs.
Ali Babakhani, R. S. Dahiya
doaj
Novel Methods for Solving the Conformable Wave Equation
Journal of New Theory, 2020 In this paper, a two-dimensional conformable fractional wave equationdescribing a circular membrane undergoing axisymmetric vibrations is formulated.
Mohammed Kaabar
doaj
Ain Shams Engineering Journal, 2017 In this paper, a Fourier spectral method is used to reduce the optimal boundary control problem for a two-dimensional wave equation to a countable number of control problems for a one-dimensional wave equation which are transformed to the optimal control
Hassan Zarei
doaj +1 more source
An analytical model for simulating two-dimensional multispecies plume migration [PDF]
Hydrology and Earth System Sciences, 2016 The two-dimensional advection-dispersion equations coupled with sequential first-order decay reactions involving arbitrary number of species in groundwater system is considered to predict the two-dimensional plume behavior of decaying contaminant such as
J.-S. Chen +3 more
doaj +1 more source
Decoupling the coupled DGLAP evolution equations: an analytic solution to pQCD
, 2010 Using Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we decouple the solutions for the singlet structure function $F_s(x,Q^2)$ and $G(x,Q^2)$ of the two leading-order coupled singlet ...
A.D. Martin +12 more
core +2 more sources
Two-dimensional Laplace-transformed power series solution for solute transport in a radially convergent flow field [PDF]
Advances in Water Resources, 2003 This paper presents an analytical solution for two-dimensional non-axisymmetric solute transport in a radially convergent flow field. We applied a Laplace-transformed power series (LTPS) technique to solve the two-dimensional advection-dispersion equation in cylindrical coordinates.
Chen, Jui-Sheng +2 more
openaire +2 more sources
Anti‐Slip Material‐Based Strategies and Approaches
Advanced Materials Technologies, EarlyView.This review highlights the principle mechanisms of slipping at the microscale, linking contact mechanics with a friction behavior model for surface interfaces. Main strategies to develop anti‐slip properties to the surfaces are discussed alongside standardized testing approaches.
Sogand Abbaspoor‐Zanjani +3 more
wiley +1 more source
Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
wiley +1 more source
Mathematical Problems in Engineering, 2022 In this paper, a parallel Laplace transform spectral element method for the linear Schrödinger equation and the cubic nonlinear Schrödinger equation is introduced. The main advantage of this new scheme is that it has the high accuracy of spectral methods and the parallel efficiency of the Laplace transform method. The key idea is twofold.
openaire +1 more source
Laplace Transform Homotopy Perturbation Method for the Two Dimensional Black Scholes Model with European Call Option [PDF]
Mathematical and Computational Applications, 2017 The Black Scholes model is a well-known and useful mathematical model in financial markets. In this paper, the two-dimensional Black Scholes equation with European call option is studied. The explicit solution of this problem is carried out in the form of a Mellin–Ross function by using Laplace transform homotopy perturbation method.
Kamonchat Trachoo +2 more
openaire +1 more source