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《Journal of Tianjin Normal University(Natural Science Edition)》 2007-01
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Improved Locally One-dimensional Finite Difference Scheme for Two Dimensional Hyperbolic Equations with Nonhomogenerous Boundary Condition

ZHANG Hong-wei,WANG Tong-ke(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)  
An improved locally one-dimensional finite difference scheme is presented for two dimensional nonhomogenerous hyperbolic equations with first boundary value condition.High dimensional equation can be solved by decomposing to a series of one dimensional equations with this scheme.The scheme overcomes the defects that the source term is hard to decompose and the intermediate boundary condition is difficult to determine.The convergence order of the LOD scheme is O(τ2+h2) in discrete L2 norm.Numerical example indicates the results is very satisfactory.
【Fund】: 国家自然科学基金项目(10471079)
【CateGory Index】: O241.82
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