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

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8期1446-1454,共9页应用数学与应用物理（英文）

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.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.

关 键 词：Septic B-Spline Function Fifth-Order Boundary Value Problems B-Spline Collocation Method Nonlinear Problems 

分 类 号：O17[理学—数学]