Septic B-Spline Solution of Fifth-Order Boundary Value Problems

作     者：Bin Lin Bin Lin

作者机构：School of Mathematics and Computation Science Lingnan Normal University Zhanjiang China 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2016年第4卷第8期

页      面：1446-1454页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Septic B-Spline Function Fifth-Order Boundary Value Problems B-Spline Collocation Method Nonlinear Problems 

摘      要：A numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value problems. The method is fourth order convergent. We use the quesilinearization technique to reduce the nonlinear problems to linear problems and use B-spline collocation method, which leads to a seven nonzero bands linear system. Illustrative example is included to demonstrate the validity and applicability of the proposed techniques.