Results 81 to 90 of about 1,391,702 (218)

Approximate analytical solution for induction heating of solid cylinders

, 2016
An approximate solution to the mathematical model for induction heating of a solid cylinder in a cylindrical induction coil is presented here. The coupled multiphysics model includes equations describing the electromagnetic field in the heated object, a ...
T. Jankowski, N. Pawley, L. Gonzales, C. A. Ross, J. Jurney   +4 more
semanticscholar   +1 more source

Existence and Uniqueness Theorem for a Solution to a Class of a Third-Order Nonlinear Differential Equation in the Domain of Analyticity

Axioms, 2022
The paper considers the specifics of nonlinear differential equations that have applications in different areas. Earlier, the authors proved the existence and uniqueness theorem for a solution to a class of non-linear differential equations in a ...
Victor Orlov, Magomedyusuf Gasanov
doaj   +1 more source

The Electric Double Layer Structure Around Charged Spherical Interfaces

, 2012
We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is ...
Israelachvili J., Loeb A. L., Mark J. Bowick, Ohshima H., Russel W. B., Verwey E. J. W., Weisstein E. W., Xu Ma, Zhenwei Yao   +8 more
core   +1 more source

Reconstruction and deceleration-acceleration transitions in modified gravity [PDF]

, 2010
We discuss the cosmological reconstruction in modified Gauss-Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered.
Nojiri, Shin'ichi, Odintsov, Sergei D., Toporensky, Alexey, Tretyakov, Petr   +3 more
core   +2 more sources

New Approximate Analytical Solutions of the Falkner‐Skan Equation [PDF]

Journal of Applied Mathematics, 2012
We propose an iterative method for solving the Falkner‐Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method ...
openaire   +4 more sources

Innovative Application of the Ritz Method to Oil-Gas Seepage Problems: A Novel Variational Approach for Solving Underground Flow Equations

Energies
State-of-the-art commercial simulators (e.g., Eclipse, CMG) predominantly employ finite difference schemes, which face persistent challenges in modeling strongly nonlinear seepage dynamics. This study explores the application of the Ritz method, grounded
Xiongzhi Liu, Hao Yang, Lifei Dong, Ming Lei, Jie Han, Hao Kang   +5 more
doaj   +1 more source

Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]

, 2012
In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
core   +1 more source

Optimal homotopy asymptotic method for flow and heat transfer of a viscoelastic fluid in an axisymmetric channel with a porous wall. [PDF]

PLoS ONE, 2013
In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented.
Fazle Mabood, Waqar A Khan, Ahmad Izani Md Ismail   +2 more
doaj   +1 more source

Comparative analysis of the approximate analytical and finite element solutions for misaligned tube

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The boundary value problem of steady-state creep for thick-walled misaligned tube under internal pressure was considered. The approximate analytical solution of this problem by method of small parameter including the second approach is under construction.
Vladimir P Radchenko, Anna D Moskalik, Igor' E Adeyanov   +2 more
doaj   +1 more source

A skeleton approximate solution of the Einstein field equations for multiple black-hole systems

, 2004
An approximate analytical and non-linear solution of the Einstein field equations is derived for a system of multiple non-rotating black holes. The associated space-time has the same asymptotic structure as the Brill-Lindquist initial data solution for ...
A. Komar, A. Lichnerowicz, D.D. Holm, D.R. Brill, E. Gourgoulhon, G. Schäfer, G.B. Cook, G.B. Cook, Gerhard Schäfer, Guillaume Faye, H.P. Pfeiffer, H.P. Pfeiffer, J.M. Bowen, L. Blanchet, L. Blanchet, L. Blanchet, L. Blanchet, L. Blanchet, L.E. Kidder, M. Shibata, P. Grandclément, P. Jaranowski, P. Jaranowski, P. Jaranowski, P. Jaranowski, P. Jaranowski, P. Jaranowski, Piotr Jaranowski, R.J. Gleiser, S. Brandt, S.M. Kopejkin, T. Damour, T. Damour, T. Damour, T. Damour, T. Damour, T. Damour, T. Ohta, T. Regge, T.W. Baumgarte, V.C. de Andrade, Y. Itoh   +41 more
core   +1 more source