B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems  

B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems

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作  者:Bin Lin Bin Lin(School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, China)

机构地区:[1]School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, China

出  处:《Journal of Applied Mathematics and Physics》2016年第9期1699-1704,共6页应用数学与应用物理(英文)

摘  要:We use fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value problems. We use B-spline collocation method, which leads to a tri-diagonal linear system. The accuracy of the proposed method is demonstrated by test problems. The numerical results are found in good agreement with exact solutions.We use fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value problems. We use B-spline collocation method, which leads to a tri-diagonal linear system. The accuracy of the proposed method is demonstrated by test problems. The numerical results are found in good agreement with exact solutions.

关 键 词:Fifth Order B-Spline Functions B-Spline Collocation Method Singularly Perturbed Boundary Value Problems 

分 类 号:O17[理学—数学]

 

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