Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1222.65076
Rashidinia, J.; Ghasemi, M.
B-spline collocation for solution of two-point boundary value problems. (English)
[J] J. Comput. Appl. Math. 235, No. 8, 2325-2342 (2011). ISSN 0377-0427

The numerical solution based on B-spline collocation for boundary value problems for nonlinear differential equations up to sixth order is studied. By using the sextic B-spline collocation at the midpoints of a uniform mesh, a numerical method of order 6 is proposed. Then, an error analysis and the convergence of the method are investigated in detail. Several numerical examples, including numerical solutions for some stiff problems, are given for illustrating the efficiency of the B-spline collocation method.
[Vu Hoang Linh (Hanoi)]

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
65L20 Stability of numerical methods for ODE
65L60 Finite numerical methods for ODE
65L70 Error bounds (numerical methods for ODE)
65L04
34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problem; sextic B-spline; collocation; Green's function; error analysis; convergence; numerical examples; stiff problems

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]