Results 11 to 20 of about 6,380,160 (306)

The method of fundamental solutions for Helmholtz-type problems [PDF]

open access: yes, 2013
The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
core   +6 more sources

Fundamental Solution in Micropolar Viscothermoelastic Solids with Void [PDF]

open access: yes, 2015
In the present article, we construct the fundamental solution to a system of differential equations in micropolar viscothermoelastic solids with voids in case of steady oscillations in terms of elementary functions.
R. Kumar   +5 more
core   +1 more source

Parabolic by Shilov systems with variable coefficients

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Because of the parabolic instability of the Shilov systems to change their coefficients, the definition parabolicity of Shilov for systems with time-dependent $t$ coefficients, unlike the definition parabolicity of Petrovsky, is formulated by imposing ...
V.A. Litovchenko
doaj   +1 more source

Boundary value problem for the four-dimensional Gellerstedt equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables is investigated. The energy integral method is used to prove the uniqueness of the solution to the problem.
A.S. Berdyshev, A.R. Ryskan
doaj   +1 more source

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

open access: yesAxioms, 2016
In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
doaj   +1 more source

Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

open access: yesAdvanced Nonlinear Studies, 2023
We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m2m with certain lower order terms.
Barton Ariel E., Duffy Michael J.
doaj   +1 more source

Diffusion source function identification in the process of gas seepage in a coal seam

open access: yesFrontiers in Earth Science, 2022
Through piecewise linearization, the control equation of gas migration in coal is simplified to a parabolic differential equation with time-dependent source terms, and under the corresponding initial conditions, boundary and additional conditions are ...
Fu Lv   +4 more
doaj   +1 more source

Remind Solution (Australia) Brain Booster Benefits!

open access: yes, 2022
Henceforth, the audit here has the intense Remind Solution, which is exceptional and helps upgrade your memory, in contrast to other memory items. Peruse the survey about Remind Solution, which could assist Remind Solution you with reestablishing your ...
Remind Solution
core   +1 more source

An enhanced BEM approach applied to potential problems: a comparative study [PDF]

open access: yesNumerical Methods in Civil Engineering, 2020
In the present paper, a hybrid analytical/numerical method capable of integrating singular logarithmic functions, as an essential part of the Boundary Element Method (BEM) process, is presented.
Parham Azhir   +3 more
doaj   +1 more source

LARGE-TIME ASYMPTOTIC OF THE SOLUTION TO THE DIFFUSION EQUATION AND ITS APPLICATION TO HOMOGENIZATION ESTIMATES

open access: yesРоссийский технологический журнал, 2017
The Cauchy problem for a linear second order parabolic equation with 1-periodic measurable coefficients is considered Rd, d ≥ 2. The problem models diffusion in a nonhomogeneous periodic medium. The appropriate diffusion operator A is self-adjoint in L2 (
S. E. Pastukhova, O. A. Evseeva
doaj   +1 more source

Home - About - Disclaimer - Privacy