Numerical Solution of the Seventh Order Boundary Value Problems Using B-Spline Method  

作　　者：Maryam Khazaei Yeganeh Karamipour Maryam Khazaei;Yeganeh Karamipour(Department of Computer Science, University of California, Merced, USA;Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran)

机构地区：[1]Department of Computer Science, University of California, Merced, USA [2]Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran

出　　处：《Journal of Applied Mathematics and Physics》2021年第12期3058-3066,共9页应用数学与应用物理（英文）

摘　　要：We develop a numerical method for solving the boundary value problem of The Linear Seventh Ordinary Boundary Value Problem by using the seventh-degree B-Spline function. Formulation is based on particular terms of order of seventh order boundary value problem. We obtain Septic B-Spline formulation and the Collocation B-spline method is formulated as an approximation solution. We apply the presented method to solve an example of seventh order boundary value problem in which the result shows that there is an agreement between approximate solutions and exact solutions. Resulting in low absolute errors shows that the presented numerical method is effective for solving high order boundary value problems. Finally, a general conclusion has been included.We develop a numerical method for solving the boundary value problem of The Linear Seventh Ordinary Boundary Value Problem by using the seventh-degree B-Spline function. Formulation is based on particular terms of order of seventh order boundary value problem. We obtain Septic B-Spline formulation and the Collocation B-spline method is formulated as an approximation solution. We apply the presented method to solve an example of seventh order boundary value problem in which the result shows that there is an agreement between approximate solutions and exact solutions. Resulting in low absolute errors shows that the presented numerical method is effective for solving high order boundary value problems. Finally, a general conclusion has been included.

关 键 词：Spline and B-Spline Functions Seventh Order Boundary Value Problem Septic B-Spline Collocation Method 

分 类 号：O17[理学—数学]