[图书][B] Fuzzy differential equations and applications for engineers and scientists
Differential equations play a vital role in the modeling of physical and engineering problems,
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …
Review of computational schemes in inverse heat conduction problems
This paper aims to present a review of the current computational methods and applications
of inverse heat conduction problems (IHCPs) in different fields. Generally speaking, there …
of inverse heat conduction problems (IHCPs) in different fields. Generally speaking, there …
A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis
This paper presents a new numerical inverse method for identifying the six components of
the thermal conductivity tensor of a 3D anisotropic medium with an arbitrary shape. The …
the thermal conductivity tensor of a 3D anisotropic medium with an arbitrary shape. The …
Application of the homotopy perturbation method for the solution of inverse heat conduction problem
This paper deals with an application of the homotopy perturbation method for the solution of
inverse heat conduction problem. This problem consists in the calculation of temperature …
inverse heat conduction problem. This problem consists in the calculation of temperature …
Trefftz functions for the non-stationary problems
K Grysa, B Maciejewska - Journal of Theoretical and Applied Mechanics, 2013 - ptmts.org.pl
Different types of Trefftz functions for non-stationary linear and weakly nonlinear differential
equations are presented. The Trefftz methods are defined and briefly described. Certain …
equations are presented. The Trefftz methods are defined and briefly described. Certain …
[HTML][HTML] Modeling of heat distribution in porous aluminum using fractional differential equation
The authors present a model of heat conduction using the Caputo fractional derivative with
respect to time. The presented model was used to reconstruct the thermal conductivity …
respect to time. The presented model was used to reconstruct the thermal conductivity …
A sequential and global method of solving an inverse problem of heat conduction equation
M Ciałkowski, K Grysa - Journal of Theoretical and applied Mechanics, 2010 - ptmts.org.pl
The paper presents a solution to an inverse problem based on the analytical form of the
direct problem solution in the convolutional form. The analytical form T (r, t) is a surface that …
direct problem solution in the convolutional form. The analytical form T (r, t) is a surface that …
Trefftz method in solving the inverse problems
MJ Ciałkowski, K Grysa - 2010 - degruyter.com
In this article we present different types of Trefftz functions for stationary and non-stationary
linear differential equations. The Trefftz methods are then defined and briefly described. One …
linear differential equations. The Trefftz methods are then defined and briefly described. One …
Determination of optimal parameters for the immune algorithm used for solving inverse heat conduction problems with and without a phase change
In this article the inverse heat conduction problem and the inverse Stefan problem with the
third kind of boundary condition are solved by applying the immune algorithm. This method …
third kind of boundary condition are solved by applying the immune algorithm. This method …
Trefftz functions applied to direct and inverse non-Fourier heat conduction problems
The paper presents a new approximate method of solving non-Fourier heat conduction
problems. The approach described here is suitable for solving both direct and inverse …
problems. The approach described here is suitable for solving both direct and inverse …