An efficient approach for solution of fractional-order Helmholtz equations [PDF]
Advances in Difference Equations, 2021 AbstractIn this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated.
Nehad Ali Shah +3 more
openaire +3 more sources
Asymptotic solutions of the Helmholtz equation: generalised Friedlander-Keller ray expansions of fractional order [PDF]
, 2020 Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in the high{frequency limit are now standard, and underpin the construction of `geometrical optics' ray diagrams in many electromagnetic, acoustic and ...
Tew, R.H., Tew, Richard H.
core +1 more source
Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
core +1 more source
Journal of Advanced Research, 2021 Introduction: This study describes a novel meshless technique for solving one of common problem within cell biology, computer graphics, image processing and fluid flow.
Vahid Reza Hosseini +2 more
doaj +1 more source
Modelling solute transport in soil columns using advective-dispersive equations with fractional spatial derivatives [PDF]
, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
core +1 more source
Calculation of CO2 P-ρ-T properties in the temperature range from T = 400 K to T = 1700 K
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023 Сalculation of the carbon dioxide state equation isotherms in the temperature range from T = 400 K to T = 1700 K is presented. Implemented calculation method is a refinement of the previously proposed approach based on the fractal state equation and ...
R.A. Magomedov, E.N. Akhmedov
doaj +1 more source
Water vapor P-ρ-T properties calculation in the temperature range from 773 K to 1673 K
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022 The paper presents the calculation of isotherms of the equation of state of water vapor in the temperature range from T = 773 K to T = 1673 K. The calculation was made using a specially developed software module “Fract EOS”.
R.A. Magomedov, E.N. Akhmedov
doaj +1 more source
Abstract and Applied Analysis, 2013 We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators.
Ai-Min Yang +3 more
doaj +1 more source
Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator [PDF]
, 2014 The inhomogeneous Helmholtz equation within the local fractional derivative operator conditions is investigated in this paper. The local fractional variational iteration method is applied to obtain the nondifferentiable solutions and the graphs of the ...
CATTANI, Carlo +3 more
core +1 more source
Modified fractional logistic equation [PDF]
, 2018 In the article (West, 2015), the author has obtained a function as the solution to fractional logistic equation (FLE). As demonstrated later in Area et al.
Sima Sarv Ahrabi +5 more
core +1 more source