【Author】

Zhang Zi-fang dept.information and calculation science Huaihai Institute of Technology Lianyungang,P.R.China Niu Jian-ren College of Mathematics Sichuan Univetsity Chengdu,P.R.China

【Abstract】

Many physical phenomena are modeled by hyperbolic equations with nonlocal boundary value condition.Numerical solution of hyperbolic partial differential equation with a nonlocal condition is a major research area with widespread applications in modern science and technology.Numerical solution of a hyperbolic boundary value problem with nonlocal condition is discussed in this paper.This hyperbolic boundary value problem with nonlocal condition is changed into a periodic boundary value problem by means of a new unknown function.A high-order difference scheme for the aforesaid hyperbolic boundary value problem is given.The existence and uniqueness of the solution of the high-order difference scheme is proven.The stability condition of the high-order difference scheme is obtained by Fourier analysis.Two numerical examples of showing stability and convergence are given.

【Keywords】

difference scheme;solvability;stability;hyperbolic equation;nonlocal boundary value

To explore the background and basis of the node document

Total: 29 articles

- [1] M. Dehghan ,, Implicit Collocation Technique for Heat Equation with Non-Classic Initial Condition, International Journal of Nonlinear Sciences and Numerical Simulation,
- [2] Fatemeh Shakeri;;Mehdi Dehghan, The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition, Computers and Mathematics with Applications,
- [3] Said Mesloub;;Abdelfatah Bouziani, On a class of singular hyperbolic equation with a weighted integral condition, International Journal of Mathematics and Mathematical Sciences,
- [4] Gunnar Ekolin, Finite difference methods for a nonlocal boundary value problem for the heat equation, BIT,

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