Results 11 to 20 of about 198,412 (286)

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition

Abstract and Applied Analysis, 2021
This paper presents the study of singularly perturbed differential equations of convection-diffusion type with nonlocal boundary condition. The proposed numerical scheme is a combination of the classical finite difference method for the boundary ...
H. Debela
semanticscholar   +1 more source

A collapsing sandpile problem with nonlocal boundary condition

Gulf Journal of Mathematics, 2022
In this work, we continue our study on the sandpile model proposed by Igbida. We are particularly interested in the study of avalanches that occur on the surface of a pile of sand following a drying out.
U. Traoré, E. Nassouri
semanticscholar   +1 more source

Sturm–Liouville problem with two point nonlocal second type boundary condition

Lietuvos Matematikos Rinkinys, 2005
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
doaj   +3 more sources

Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition

, 2021
This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango, A. Tamilselvan, R. Vadivel, N. Gunasekaran, Haitao Zhu, Jinde Cao, Xiaodi Li   +6 more
semanticscholar   +1 more source

The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

Alexandria Engineering Journal, 2022
In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
doaj   +1 more source

To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions

Mathematics, 2022
In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen, Jian-Hung Shen   +3 more
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On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition

Журнал Белорусского государственного университета: Математика, информатика, 2018
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q,
Alexander L. Gladkov, Tatiana V. Kavitova   +1 more
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Nonlocal Boundary-Value Problems with Local Boundary Conditions

, 2023
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
openaire   +2 more sources

Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition [PDF]

Mathematical methods in the applied sciences, 2019
We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition.
A. Gladkov, T. Kavitova
semanticscholar   +1 more source