Results 11 to 20 of about 94 (82)

A DRBEM model for microwave heating problems

open access: yesApplied Mathematical Modelling, 1995
The paper deals with the model equation \(T_t = \Delta T + \gamma(T) |E|^2\), where \(T\) is the temperature, \(\gamma (T)\) the thermal absorptivity, and \(|E|\) the amplitude of the electric field, which is supposed to depend exponentially on the spatial variables (in two or three dimensions).
Zhu, Songping   +2 more
openaire   +2 more sources

Convective Flow of Blood in Square and Circular Cavities

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this study, the fully developed, steady, laminar ow of blood is studied in a long pipe with square and circular cross-sections subjected to a magnetic field generated by an electric wire.
Senel P., Tezer-Sezgin M.
doaj   +1 more source

The Improved Moving Least‐Square Ritz Method for the One‐Dimensional Sine‐Gordon Equation

open access: yesMathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014
Analysis of the one‐dimensional sine‐Gordon equation is performed using the improved moving least‐square Ritz method (IMLS‐Ritz method). The improved moving least‐square approximation is employed to approximate the 1D displacement field. A system of discrete equations is obtained by application of the Ritz minimization procedure.
Qi Wei, Rongjun Cheng, Zan Zhang
wiley   +1 more source

Mapping of Groundwater Salinity Using Dual Reciprocity Boundary Element Method in Nuq Region, Rafsanjan [PDF]

open access: yesآب و فاضلاب, 2015
In this study, a new numerical method based on Dual Reciprocity Boundary Element Method (DRBEM) is presented to interpolate scattered data. For this purpose, water samples were taken from 120 wells in Nuq region, Rafsanjan, for salinity measurements. The
Isa Esfandiarpour Borujeni, Mahdi Sovizi
doaj  

Fundamental‐Solution‐Based Hybrid Element Model for Nonlinear Heat Conduction Problems with Temperature‐Dependent Material Properties

open access: yesMathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013
The boundary‐type hybrid finite element formulation coupling the Kirchhoff transformation is proposed for the two‐dimensional nonlinear heat conduction problems in solids with or without circular holes, and the thermal conductivity of material is assumed to be in terms of temperature change.
Hui Wang   +4 more
wiley   +1 more source

Differential Quadrature Solution of Hyperbolic Telegraph Equation

open access: yesJournal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
Differential quadrature method (DQM) is proposed for the numerical solution of one‐ and two‐space dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial‐based differential quadrature (PDQ) and Fourier‐based differential quadrature (FDQ) are used in space directions while PDQ is made use of in ...
B. Pekmen   +2 more
wiley   +1 more source

Effect of an uniform magnetic field on unsteady natural convection of nanofluid

open access: yesJournal of Taibah University for Science, 2019
In this work, the problem of the unsteady natural convection in an ${\rm Al}_2{\rm O}_3 $-water filled nanofluids influenced by an uniform magnetic field is analysed numerically.
Nagehan Alsoy-Akgün
doaj   +1 more source

DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR SOLVING TIME-DEPENDENT WATER INFILTRATION PROBLEMS IN IMPERMEABLE CHANNEL IRRIGATION SYSTEMS

open access: yesBarekeng
The mathematical model of water infiltration in a furrow irrigation channel with an impermeable layer in homogeneous soil is formulated as a Boundary Value Problem (BVP) with the Modified Helmholtz Equation as the governing equation and mixed boundary ...
Yanne Irene   +3 more
doaj   +1 more source

An Analysis of Water Infiltration in Furrow Irrigation Channels with Plants in Various Types of Soil in the Special Region of Yogyakarta Using Dual Reciprocity Boundary Element Method

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
The analysis of water infiltration channels requires significant time and cost when conducted through laboratory experiments. Alternatively, mathematical modeling followed by numerical method can be employed.
Yanne Irene   +3 more
doaj   +1 more source

A subregion DRBEM formulation for the dynamic analysis of two-dimensional cracks

open access: yesMathematical and Computer Modelling, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoping Lu, Wei-liang Wu
openaire   +2 more sources

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