检索结果-南通市图书馆

NUMERICAL SOLUTION OF THE SINGULARLY PERTURBED PROBLEM WITH nonlocal boundary condition

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2002年第7期23卷 755-764页

作者： G.M.Amiraliyev Musa CakDr Department of Mathematics Y Y University65080 VanTurkey Communicated by HE Ji-huan Original Member of Editorial CommitteeAMM

Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non-equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.

关键词： exponentially fitted difference scheme singular perturbation nonlocal boundary condition

Global and Blow-up Solutions to a p-Laplace Equation with nonlocal Source and nonlocal boundary condition

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2010年第3期26卷 280-288页

作者： GUO BIN WEI YING-JIE GAO WEN-JIE Institute of Mathematics Jilin University Changchun 130012

This paper deals with an evolution p-Laplace equation with nonlocal source subject to weighted nonlocal Dirichlet boundary conditions. We give sufficient conditions for the existence of global and non-global solutions.

关键词： nonlocal boundary condition evolution p-Laplace nonlocal source blow-up

Blow-up of Solutions to Porous Medium Equations with a nonlocal boundary condition and a Moving Localized Source

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2012年第3期28卷 243-251页

作者： SUN PENG GAO WEN-JIE HAN YU-ZHU School of Mathematics Jilin University Changehun 130012

This paper is devoted to the blow-up properties of solutions to the porous medium equations with a nonlocal boundary condition and a moving localized source. conditions for the existence of global or blow-up solutions... 详细信息

关键词： blow-up moving localized source nonlocal boundary condition global blow-up

PROPERTIES OF POSITIVE SOLUTIONS FOR A nonlocal NONLINEAR DIFFUSION EQUATION WITH nonlocal NONLINEAR boundary condition

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2014年第3期34卷 748-758页

作者：李玉环米永生穆春来 Department of Mathematics Sichuan Normal University College of Mathematics and Statistics Chongqing University College of Mathematics and Computer Sciences Yangtze Normal University

This article deals with the global existence and blow-up of positive solution of a nonlinear diffusion equation with nonlocal source and nonlocal nonlinear boundary condition. We investigate the influence of the reaction terms, the weight functions and the nonlinear terms in the boundary conditions on global existence and blow up for this equation. Moreover, we establish blow-up rate estimates under some appropriate hypotheses.

关键词： nonlocal boundary condition blow-up blow-up rate Porous medium equation

UNIFORM BLOWUP PROFILES FOR DIFFUSION EQUATIONS WITH nonlocal SOURCE AND nonlocal boundary1

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2004年第3期24卷 443-450页

作者： LinZhigui LiuYurong SchoolofMathematicalScience YangzhouUniversityYangzhou225002China

Long time behavior of solutions to semilinear parabolic equations with nonlo-cal nonlinear source ut-Δu=∫Ωg(u)dx in Ω×(0, T) and with nonlocal boundary con-dition u(x, t)=∫Ωf(x, y)u(y,t)dy on эΩ×(0, T) is studied. The authors establish local existence, global existence and nonexistence of solutions and discuss the blowup properties of solutions. Moveover, they derive the uniform blowup estimates for g(s)= s^p(p＞1) and g(s)=e^э under the assumption ∫Ωf(x,y)dy＜1 for x∈эΩ.

关键词： Blowup nonlocal source nonlocal boundary condition 35K50 35B40

Continuous Subsonic-Sonic Flows in a Convergent Nozzle

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2018年第4期34卷 749-772页

作者： Yuan Yuan NIE Chun Peng WANG School of Mathematics Jilin University

This paper concerns continuous subsonic-sonic potential flows in a two-dimensional conver- gent nozzle. It is shown that for a given nozzle which is a perturbation of a straight one, a given point on its wall where the curvature is zero, and a given inlet which is a perturbation of an arc centered at the vertex, there exists uniquely a continuous subsonic-sonic flow whose velocity vector is along the normal direction at the inlet and the sonic curve, which satisfies the slip conditions on the nozzle walls and whose sonic curve intersects the upper wall at the given point. Furthermore, the sonic curve of this flow is a free boundary, where the flow is singular in the sense that the speed is only C1/2 H6lder continuous and the acceleration blows up. The perturbation problem is solved in the potential plane, where the flow is governed by a free boundary problem of a degenerate elliptic equation with two free boundaries and two nonlocal boundary conditions, and the equation is degenerate at one free boundary.

关键词： Continuous subsonic-sonic flow free boundary nonlocal boundary condition degeneracy,singularity

A Numerical Method for Nonlinear Singularly Perturbed Multi-Point boundary Value Problem

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2016年第6期4卷 1143-1156页

作者： Musa Çakır Derya Arslan Department of Mathematics Faculty of Science University of Yuzuncu Yil Van Turkey

We consider a uniform finite difference method for nonlinear singularly perturbed multi-point boundary value problem on Shishkin mesh. The problem is discretized using integral identities, interpolating quadrature rules, exponential basis functions and remainder terms in integral form. We show that this method is the first order convergent in the discrete maximum norm for original problem (independent of the perturbation parameter ε). To illustrate the theoretical results, we solve test problem and we also give the error distributions in the solution in Table 1 and Figures 1-3.

关键词： Singular Perturbation Fitted Finite Difference Method Shishkin Mesh nonlocal boundary condition Uniform Convergence