NON- POLYNOMIAL SPLINE METHODS FOR THE SOLUTION OF THIRD- ORDER BOUNDARY VALUE PROBLEMS

In this paper, We use non-polynomial quintic spline functions to develop numerical methods for the solution of third-order linear and non-linear boundary velue problems. For non-linear case, the quesilinearization technique is used to reduce the given non-linear problem to a sequence of linear problems. Some model problems are solved, and the numerical results are compared with.

Keywords:

Third-order ordinary differential equations , Non-polynomial quintic spline , Quesilinearization technique