مشخصات پژوهش

عنوان	B-spline collocation for solution of two-point boundary value problems
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Nonlinear boundary value problems; Sextic B-spline method; Collocation; Convergence; Green’s function
چکیده	A numerical method based on B-spline is developed to solve the general nonlinear two-point boundary value problems up to order 6. The standard formulation of sextic spline for the solution of boundary value problems leads to non-optimal approximations. In order to derive higher orders of accuracy, high order perturbations of the problem are generated and applied to construct the numerical algorithm. The error analysis and convergence properties of the method are studied via Green’s function approach. O(h6) global error estimates are obtained for numerical solution of these classes of problems. Numerical results are given to illustrate the efficiency of the proposed method. Results of numerical experiments verify the theoretical behavior of the orders of convergence.
پژوهشگران	جلیل رشیدی نیا (نفر اول)، محمد قاسمی (نفر دوم)