检索结果-南通市图书馆

Blow-up of Solution for a nonlinear hyperbolic equation

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2010年第4期25卷 578-581页

作者： WANG Yan-ping Department of Mathematics and Physics Zhengzhou Institute of Aeronautical Industry ManagementZhengzhou 450015China

This paper gives the suffcient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local so... 详细信息

关键词： nonlinear hyperbolic equation blow-up of solution initial boundary valueproblem

Nonexistence of the Solution for a Class of nonlinear hyperbolic equation

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2011年第2期31卷 377-380页

作者： Yan Ping WANG Department of Physics and Mathematics Zhengzhou Institute of Aeronautical Industry Management Henan 450015 P. R.China

In this paper,we prove the existence and uniqueness of the local generalized solution of the Cauchy problem for a class of nonlinear hyperbolic equation of higher order are ***,we give the sufficient conditions for bl... 详细信息

关键词： nonlinear hyperbolic equation Cauchy problem local solution nonexistence of solution

The Full-Discrete Mixed Finite ElementMethods for nonlinear hyperbolic equations

在线全文

学校读者我要写书评

暂无评论

Communications in nonlinear Science and Numerical Simulation 1998年第3期3卷 152-155页

作者： Yanping CHEN and Yunqing HUANG(Department of Mathematics, Nanjing University, Najing 210008, China)(Institute of Comp. & Appl. Math., Xiangtan University, Xiangtan 411105, China)E-mail: huangyq@*** Department of Mathematics Nanjing University Najing 210008 China Institute of Comp. and Appl. Math. Xiangtan University Xiangtan 411105 China

This article treats mixed finite element methods for second order nonlinear hyperbolic equations. A fully discrete scheme is presented and improved L2-errorestimates are established. The convergence of both the functi... 详细信息

关键词： nonlinear hyperbolic equation mixed finite element methods convergence

Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2008年第4期23卷 455-462页

作者： SHI Dong-yang LI Zhi-yan Department of Mathematics Zhengzhou Univercity Zhengzhou 450052 China Department of Mathematics Handan College Handan 056005 China

This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear H^1 projection and integral identity technique. Meanwhile, the global superconvergence is obtained based on the interpolated postprocessing techniques.

关键词： nonlinear hyperbolic equation nonlinear boundary condition superconvergence postprocessing technique

ANALYSIS　OF　STRONG　SINGULARITIES　FOR　nonlinear　hyperbolic　equationS

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 1997年第2期12卷 237-251页

作者： FANG DAOYUAN Center for Mathematical Sciences Zhejiang University Hangzhou

In this paper we review our some results about the strongly singular (discontinuous, measure, or delta function) problems for nonlinear hyperbolic equations.

关键词： Strong singularity nonlinear hyperbolic equation multidimensional space

Iterative method of solving Cauchy problem with reproducing kernel for nonlinear hyperbolic equations

在线全文

学校读者我要写书评

暂无评论

Journal of Harbin Institute of Technology(New Series) 2001年第1期8卷 41-46页

作者：吴勃英谢鸿政 Dept. Of Mathematics Harbin Institute of Technology

Presents the iterative method of solving Cauchy problem with reproducing kernel for nonlinear hyperbolic equations, and the application of the computational technique of reproducing kernel space to simplify, the iterative computation and increase the convergence rate and points out that this method is still effective. Even if the initial condition is discrete.

关键词： reproducing kernel space iterative method nonlinear hyperbolic equation Cauchy problem

HIGH ACCURACY ARITHMETIC AVERAGE TYPE DISCRETIZATION FOR THE SOLUTION OF TWO-SPACE DIMENSIONAL nonlinear WAVE equationS

在线全文

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2012年第2期3卷 1-18页

作者： R.K.MOHANTY VENU GOPAL Department of Mathematics University of Delhi Delhi-110007India

In this paper,we propose a new high accuracy discretization based on the ideas given by Chawla and Shivakumar for the solution of two-space dimensional nonlinear hyper-bolic partial differential equation of the form utt=A(x,y,t)uxx+B(x,y,t)uyy+g(x,y,t,u,ux,uy,ut),00 subject to appropriate initial and Dirichlet boundary *** use only five evaluations of the function g and do not require any fictitious points to discretize the differential *** proposed method is directly applicable to wave equation in polar coordinates and when applied to a linear telegraphic hyperbolic equation is shown to be unconditionally *** results are provided to illustrate the usefulness of the proposed method.

关键词： nonlinear hyperbolic equation variable coefficients arithmetic average type approximation wave equation in polar coordinates van der Pol equation telegraphic equation maximum absolute errors.

On the Decay of Solutions for Some nonlinear Dissipative hyperbolic equations

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

Acta Mathematicae Applicatae Sinica 2004年第1期20卷 93-100页

作者： Yao-junYe BeijingGraduateSchoolofChineseAcademyofEngineeringPhysics P.O.Box2101.Beijing100088&DepartmentofInformationalandComputationalScience.HenanAgriculturalUniversityZhengzhou450002

In this paper we show the decay of solutions to theinitial-boundary value problem for some nonlinear hyperbolicequation with a nonlinear dissipative term, by using adifference inequality.

关键词： nonlinear hyperbolic equation Dissipative term Decay property of solutions

FINITE ELEMENT METHOD FOR SOME nonlinear INTEGRO-DIFFERENTIAL equationS

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 1999年第4期14卷 440-450页

作者： Jiang Chengshun Dept. of Appl. Math. Univ. of Information Engineering Zhengzhou

This paper studies the finite element method for some nonlinear hyperbolic partial differential equations with memory and dampling terms.A Crank\|Nicolson approximation for this kind of equations is *** using the elliptic Ritz\|Volterra projection,the analysis of the error estimates for the finite element numerical solutions and the optimal H \+1\|norm error estimate are demonstrated.

关键词： nonlinear hyperbolic equation m em ory term dam ping term Crank-Nicolson approxim a-tion Ritz-Volterra projection finite elem ent m ethod