# A GLOBAL ELGHTH ORDER SPLINE PROCEDURE FOR A CLASS OF BOUNDARY VALUE PROBLEMS

• Park, Yun-Beom (Department of Mathematics, Korea Advanced Institute of Science and Technology) ;
• Jun, Sung-Chan (Department of Mathematics, Korea Advanced Institute of Science and Technology) ;
• Choi , U-Jin (Department of Mathematics, Korea Advanced Institute of Science and Technology)
• Published : 1994.10.01
• 44 2

#### Abstract

Boundary value problems are common in nature. Here we restrict our attention to the second order differential equations of the form $$(1.1) \frac{d^2 y}{dx^2} = P(x)y(x) + Q(x), 0 \leq x \leq 1,$$ $$y(0) = \alpha,$$ $$y(1) = \beta,$$ where P(x) and Q(x) are continuous functions with $P(x) \geq 0, x \in [0, 1]$.