Name
Title | ||
|---|---|---|
B-Spline Method for Solving Boundary Value Problems of Linear Ordinary Differential Equations. |
Abstract | ||
|---|---|---|
B-spline functions play important roles in both mathematics and engineering. In this paper, we develop a numerical method for solving the boundary value problem of linear ODE with second-order by using B-spline. First, the cubic B-spline basis functions are introduced, and then we use the linear combination of cubic B-spline basis to approximate the solution. Finally, we obtain the numerical solution by solving tri-diagonal equations. The results are compared with finite difference method and linear shooting method through an example which shows that the B-spline method is feasible and efficient. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-16339-5_43 | Communications in Computer and Information Science |
Keywords | Field | DocType |
B-spline function,Boundary-value problem,Linear shooting method,Finite difference method | Boundary knot method,Numerical methods for ordinary differential equations,Shooting method,Exponential integrator,Mathematical analysis,Linear differential equation,Numerical partial differential equations,Boundary element method,Singular boundary method,Mathematics | Conference |
Volume | Issue | ISSN |
106 | PART 2 | 1865-0929 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jincai Chang | 1 | 4 | 4.18 |
| Qianli Yang | 2 | 2 | 1.43 |
| Chunfeng Liu | 3 | 169 | 28.81 |