An effective 3-D inverse procedure to retrieve cooling conditions in an aluminium alloy continuous casting problem

I Nowak, J Smolka, AJ Nowak - Applied thermal engineering, 2010 - Elsevier
The paper discusses a three-dimensional numerical solution of the inverse boundary
problem for a continuous casting process of an aluminium alloy. Because verified …

Numerical Analysis of Direct and Inverse Problems for a Fractional Parabolic Integro-Differential Equation

MN Koleva, LG Vulkov - Fractal and Fractional, 2023 - mdpi.com
A mathematical model consisting of weakly coupled time fractional one parabolic PDE and
one ODE equations describing dynamical processes in porous media is our physical …

Numerical optimization identification of a Keller-Segel model for thermoregulation in honey bee colonies in winter

AZ Atanasov, MN Koleva, L Vulkov - International Conference on …, 2022 - Springer
The present work is inspired by laboratory experiments providing measurements in a few
places of the hive for a long period of time. Based on Keller-Segel model in form of coupled …

Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method

E Hetmaniok, I Nowak, D Slota, R Witula… - Thermal …, 2013 - doiserbia.nb.rs
In the paper a solution of the inverse heat conduction problem with the Neumann boundary
condition is presented. For finding this solution the homotopy perturbation method is …

Gradient Optimization in Reconstruction of the Diffusion Coefficient in a Time Fractional Integro-Differential Equation of Pollution in Porous Media

T Gyulov, L Vulkov - … Conference on Modelling and Development of …, 2022 - Springer
An optimization Lagrange multiplier adjoint equation approach for an inverse problem of
estimating a space-dependent diffusion coefficient in a problem of pollution in a porous …

Parameter estimation inspired by temperature measurements for a chemotactic model of honeybee thermoregulation

AZ Atanasov, MN Koleva, LG Vulkov - International Conference on …, 2022 - Springer
The key for the survival of honeybees in winter is in the generation and preservation of heat.
A successful study of this process is the modeling based on generalized Keller-Segel model …

A numerical procedure for estimation of the melt depth in laser material processing

A Shidfar, M Alinejadmofrad, M Garshasbi - Optics & Laser Technology, 2009 - Elsevier
In this study, an algorithm based on conjugate gradient method (CGM) is applied to estimate
the unknown time dependent melt depth during laser material processing in liquid phase …

The Multipolynomial Approximations and Inverse and Boundary Value Problems

IA Boguslavsky - 2011 International Conference on …, 2011 - ieeexplore.ieee.org
All the published algorithms for a solution of the inverse problems of dynamics are grounded
on a definition of a minimum of sum of squares of discrepancy-the minimum of the price …