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