[HTML][HTML] On a class of non-linear delay distributed order fractional diffusion equations
In this paper, we consider a numerical scheme for a class of non-linear time delay fractional
diffusion equations with distributed order in time. This study covers the unique solvability …
diffusion equations with distributed order in time. This study covers the unique solvability …
[HTML][HTML] First order partial differential equations with time delay and retardation of a state variable
SI Solodushkin, IF Yumanova… - Journal of Computational …, 2015 - Elsevier
We construct a finite difference scheme for the numerical solution of a first order partial
differential equation with a time delay and retardation of a state variable. Such equations are …
differential equation with a time delay and retardation of a state variable. Such equations are …
A semi-linear delayed diffusion-wave system with distributed order in time
A numerical scheme for a class of non-linear distributed order fractional diffusion-wave
equations with fixed time-delay is considered. The focus lies on the derivation of a linearized …
equations with fixed time-delay is considered. The focus lies on the derivation of a linearized …
Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary
B Wu, Y Gao, L Yan, S Wu, Z Wang - Journal of Dynamical and Control …, 2018 - Springer
We consider an inverse problem for an integro-differential parabolic equation with free
boundary. This inverse problem aims to identify the memory kernel function from a global …
boundary. This inverse problem aims to identify the memory kernel function from a global …
[HTML][HTML] Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
A semilinear parabolic problem of second order with an unknown solely time-dependent
convolution kernel is considered. An additional given global measurement (a space integral …
convolution kernel is considered. An additional given global measurement (a space integral …
Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
K Van Bockstal, M Slodička - Inverse Problems in Science and …, 2017 - Taylor & Francis
In this contribution, the reconstruction of a solely time-dependent heat source is studied in
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …
[HTML][HTML] Super-critical and critical traveling waves in a three-component delayed disease system with mixed diffusion
J Wei, J Zhou, Z Zhen, L Tian - Journal of Computational and Applied …, 2020 - Elsevier
This paper deals with traveling waves of a three-component delayed disease system with
mixed diffusion. When the basic reproduction number of the corresponding spatial …
mixed diffusion. When the basic reproduction number of the corresponding spatial …
[PDF][PDF] Numerical techniques for partial differential equations in superconductivity and thermoelasticity
K Van Bockstal - 2015 - biblio.ugent.be
This PhD-thesis consists of two parts. In the first part, forward problems for nonlocal
superconductivity are studied. The second part concerns inverse source problems for …
superconductivity are studied. The second part concerns inverse source problems for …
Determination of a time-dependent convolution kernel in a non-linear hyperbolic equation
M Slodička, L Šeliga - Inverse problems in Science and …, 2016 - Taylor & Francis
A non-linear wave equation with an unknown time-convolution kernel is considered. The
missing kernel is recovered from an additional (space) integral measurement. The global in …
missing kernel is recovered from an additional (space) integral measurement. The global in …
A multistep collocation method for solving advection equations with delay
Advection equations with delay are appeared in the modeling of the dynamics of structured
cell populations. In this article, we construct an efficient two‐dimensional multistep …
cell populations. In this article, we construct an efficient two‐dimensional multistep …