Solution of the Second Order of the Linear Hyperbolic Equation Using Cubic B-Spline Collocation Numerical Method

Wave equation is one of the second order linear hyperbolic equation. Telegraph as a special case wave has interesting point to investigate in numerical view. In this paper, we consider methods for dimensional telegraph by using cubic B-spline collocation method. Collocation method solve partial differential model problem. Cubic spline interpolation an third polynomial. This polynomial interpolate four point. B-Spline function which related smoothness partition. For every with given can be written combination those B-spline. As known that result technique difference exact called as, so have error. The results are compared interpolating scaling investigated Lakestani and Saray 2010. solution RMSE (root mean square error), L2 norm error L_∞ . showed certain function, used alternative find PDE. advantages study, choose best solving type more efficiently if relatively small closes zero. accuration verified test example 1 2 applied