Approximate analytical solution for supercritical flow in rectangular curved channels
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2019.10.064
Abstract: Abstract In this study, we present an asymptotical mathematical model and an analytical solution for a supercritical flow in curved rectangular open channels. An original approach is proposed for solving the free-surface configuration and features… read more here.
Keywords: solution supercritical; supercritical flow; approximate analytical; solution ... See more keywords
Approximate analytical solutions for a nonlinear differential equation of the corneal geometry
Sign Up to like & getrecommendations! Published in 2020 at "Informatics in Medicine Unlocked"
DOI: 10.1016/j.imu.2020.100410
Abstract: Abstract A precise determination of the corneal shape and predicting the changes in the corneal geometry can be of paramount importance for early detection of certain eye diseases and for assessing the postoperative outcomes of… read more here.
Keywords: differential equation; nonlinear differential; corneal geometry; analytical solutions ... See more keywords
An approximate analytical solution of the Bethe equation for charged particles in the radiotherapeutic energy range
Sign Up to like & getrecommendations! Published in 2017 at "Scientific Reports"
DOI: 10.1038/s41598-017-10554-0
Abstract: Charged particles such as protons and carbon ions are an increasingly important tool in radiotherapy. There are however unresolved physics issues impeding optimal implementation, including estimation of dose deposition in non-homogeneous tissue, an essential aspect… read more here.
Keywords: charged particles; energy; bethe equation; approximate analytical ... See more keywords
Approximate Analytical Solutions for the Colebrook Equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Hydraulic Engineering"
DOI: 10.1061/(asce)hy.1943-7900.0001454
Abstract: AbstractFriction factor determination is important for modeling fluid flows in pipes. The Colebrook equation has been widely used for estimating the pipe friction factor in fully developed turbulen... read more here.
Keywords: colebrook equation; analytical solutions; approximate analytical; equation ... See more keywords
Approximate analytical expressions for pulse modulation response of quantum cascade lasers
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Modern Optics"
DOI: 10.1080/09500340.2017.1397219
Abstract: Abstract Approximate analytical expressions for turn-on delay, rise time and fall time for pulse modulation of the drive current of quantum cascade lasers are presented. These time expressions are obtained using piece-wise analysis of rate… read more here.
Keywords: analytical expressions; approximate analytical; pulse modulation; cascade lasers ... See more keywords
An approximate analytical solution for radial evolution of homologous collapse
Sign Up to like & getrecommendations! Published in 2023 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stad1200
Abstract: The homologous collapse of a sphere of uniform density from a resting state under its self-gravity has been used to model the formation of astronomical objects. It is well known that the evolution of the… read more here.
Keywords: approximate analytical; analytical solution; homologous collapse; evolution ... See more keywords
Bromate Reaction on a Rotating Disc Electrode: A New Method of Obtaining Approximate Analytical Solutions for Stationary Regime
Sign Up to like & getrecommendations! Published in 2018 at "Doklady Chemistry"
DOI: 10.1134/s0012500818110058
Abstract: A new method (AA approximation) is proposed for obtaining approximate analytical solutions of a system of equations describing the transport of the basic reagents for the electroreduction process of the BrO$$_{3}^{ - }$$ anion on… read more here.
Keywords: analytical solutions; new method; method; approximate analytical ... See more keywords
Approximate analytical solution of a 2D problem for a heat conducting emitting plate
Sign Up to like & getrecommendations! Published in 2017 at "High Temperature"
DOI: 10.1134/s0018151x16060031
Abstract: A stationary problem of the thermal state of a 2D emitting plate adjacent to a coolant carrying pipe is considered. The expression for approximate determination of the size of the plate emitting a given amount… read more here.
Keywords: approximate analytical; plate; emitting plate; solution ... See more keywords
An Approximate Analytical Solution of the Nonlinear Schrödinger Equation with Harmonic Oscillator Using Homotopy Perturbation Method and Laplace-Adomian Decomposition Method
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematical Physics"
DOI: 10.1155/2018/6765021
Abstract: The Laplace-Adomian Decomposition Method (LADM) and Homotopy Perturbation Method (HPM) are both utilized in this research in order to obtain an approximate analytical solution to the nonlinear Schrödinger equation with harmonic oscillator. Accordingly, nonlinear Schrödinger… read more here.
Keywords: dinger equation; nonlinear schr; method; harmonic oscillator ... See more keywords
Approximate analytical model of rock thermal cyclical disintegration under convective cooling
Sign Up to like & getrecommendations! Published in 2019 at "Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu"
DOI: 10.29202/nvngu/2019-4/5
Abstract: Purpose. Development of an approximate analytical method for calculating strength reduction of different rocks under thermal cycling effects, taking into account the intensity of convective heat transfer. Methodology. To solve the problem, an analytical approach… read more here.
Keywords: analytical model; model rock; disintegration; rock ... See more keywords