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Semi‐analytical solution of solute dispersion model in semi‐infinite media
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2022AbstractThe advection–dispersion equation (ADE) is one of the most widely used methods for estimating natural stream pollution at different locations and times. In this paper, variational iteration method (VIM) is utilized to obtain a semi‐analytical solution for 1D ADE in a temporally dependent solute dispersion within uniformsteady flow.
Poorya Taghvaei +6 more
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Mixed quadratic-cubic autocatalytic reaction–diffusion equations: Semi-analytical solutions
Applied Mathematical Modelling, 2014 Semi-analytical solutions for autocatalytic reactions with mixed quadratic and cubic terms are considered. The kinetic model is combined with diffusion and considered in a onedimensional reactor.
M R Alharthi
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Semi-analytical solutions for the reversible Selkov model with feedback delay
Applied Mathematics and Computation, 2014 Semi-analytical solutions for the reversible Selkov, or glycolytic oscillations model, are considered. The model is coupled with feedback at the boundary and considered in one-dimensional reaction-diffusion cell.
Khaled Al Noufaey (20195946) +1 more
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Semi-analytic solution of the plane discharge with warm ions
2012 Abstracts IEEE International Conference on Plasma Science, 2012Summary form only given. The problem of plane collision-free discharge is an old important one, which has been defined and solved with ions born at rest almost one century ago by Tonks and Langmuir [1]. After decades the first attempts to solve this problem also for the case of ions born with a finite temperature resulted in a numerical solution of ...
N. Jelic, L. Kos, J. Duhovnik
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Semi analytical solution for the groundwater mound problem
Advances in Water Resources, 1988Artifical recharge as a means of managing the water resources of a region has been increasingly applied during the last decade. It affects the level of the underlying groundwater as well as septic drain fields (filter fields, leach fields), which become more and more important 1.
G. Schmitz, J. Edenhofer
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Semi-analytical solution for orthotropic multiferroic laminates
2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2009), 2009The dynamic responses of an orthotropic, multiferroic laminate in cylindrical bending are investigated based on the three dimensional equations. A semi-analytical approach, which makes a hybrid use of the method of state space method (SSM) and the differential quadrature method (DQM), is employed.
Yun-ying Zhou +2 more
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A semi-analytical solution of Hunter–Saxton equation
Optik, 2016Abstract In this paper, we discretize time derivative terms by a forward difference scheme and linearize the nonlinear terms using a quasilinearization technique to reduce the original equation into a system of ordinary differential equations. Then the Haar wavelet quasilinearization approach is applied to compute the numerical solutions of the ...
Somayeh Arbabi +2 more
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Semi-analytical solutions of kinked edge cracks
Engineering Fracture MechanicsA surface crack may advance either by further penetrating inward or by kinking out in response to possible variations in driving force or material properties. This paper provides a general approach to solve the planar elastic boundary value problem (BVP)
Yangjian Si, Yujie Wei
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Semi‐analytical analysis for multi‐directional functionally graded plates: 3‐D elasticity solutions
International Journal for Numerical Methods in Engineering, 2009 Semi-analytical 3-D elasticity solutions are presented for orthotropic multi-directional functionally graded plates using the differential quadrature method (DQM) based on the state-space formalism.
C W Lim, Weiqiu Chen
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A Semi-Analytical Solution of the Impedance-Wedge Problem
2021 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2021Diffraction of a plane electromagnetic wave by a wedge with infinite planar faces ( Fig. 1a ) is a key canonical problem of high-frequency diffraction and scattering theories, including Geometrical, Uniform and Physical Theories of Diffraction (GTD, UTD and PTD). The solution of the canonical problem improves the predictions of Geometrical and Physical
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