Results 1 to 10 of about 13,821 (251)
A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition [PDF]
Engineering Analysis with Boundary Elements, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Boundary Value Problems, 2023 The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the ...
Xingtian Gong, Shuwei Yang
doaj +1 more source
Non-local Problems with Integral Displacement for Highorder Parabolic Equations
Известия Иркутского государственного университета: Серия "Математика", 2021 The aim of this paper is to study the solvability of solutions of non-local problems with integral conditions in spatial variables for high-order linear parabolic equations in the classes of regular solutions (which have all the squared derivatives ...
A.I. Kozhanov, A.V. Dyuzheva
doaj +1 more source
ON A PROBLEM FOR THE LOADED MIXED TYPE EQUATION WITH FRACTIONAL DERIVATIVE
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been ...
Abdullaev, O.K.
doaj +1 more source
Boundary value problems with displacement for one mixed hyperbolic equation of the second order
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper studies two nonlocal problems with a displacement for the conjugation of two equations of second-order hyperbolic type, with a wave equation in one part of the domain and a degenerate hyperbolic equation of the first kind in the other part. As
Zh.A. Balkizov
doaj +1 more source
Archives of Mechanics, 2023 This paper concerns the coupled linear quasi-static theory of thermoelasticity for materials with double porosity under local thermal equilibrium. The system of equations of this theory is based on the constitutive equations, Darcy’s law of the flow of a
M. Mikelashvili
doaj +1 more source
Journal of Mathematics, 2022 In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind
M. Sajjadmanesh, H. Aydi, J. Younis
doaj +1 more source
A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks [PDF]
SIAM Journal on Scientific Computing, 2013 In this paper, we will present a new approach for solving Laplace equations in general 3-D domains. The approach is based on a local computation method for the DtN mapping of the Laplace equation by combining a deterministic (local) boundary integral equation method and the probabilistic Feynman-Kac formula of PDE solutions. This hybridization produces
Changhao Yan +2 more
openaire +2 more sources
New integral equation approach to solution of diffusion equation
Computer Assisted Methods in Engineering and Science, 2023 The paper concerns the theoretical derivation of a new formulation for solution of the initial-boundary value problems for the diffusion equation. The global and local integral equations are derived by using the fundamental solution for the Laplace ...
Vladimίr Sladek +2 more
doaj
Mathematical Modelling and Analysis, 2017 A class of non-local boundary value problems for linear fractional differential equations with Caputo-type differential operators is considered. By using integral equation reformulation of the boundary value problem, we study the existence and smoothness
Mikk Vikerpuur
doaj +1 more source