J RASHIDINIA - School of Mayhematics, Iran University of Science and Technology Narmak, Tehran, Iran
R JALILIAN - School of Mayhematics, Iran University of Science and Technology Narmak, Tehran, Iran
R MOHAMMADI

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.

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