Resumen de Symmetric spline procedures for boundary value problems with mixed boundary conditions [CAM 1150]

Sukanta Kumar Bhatta, K. Suryanarayana Sastri

• Consider a class of boundary value problems of the form y″ = P(x)y + Q(x), a ⩽ x ⩽ b (linear) or y″ = f(x, y), a ⩽ x ⩽ b (nonlinear), subject to mixed boundary conditions y′(a) - Cy(a) = α, y′(b) + Dy(b) = β. Symmetric global spline procedures are developed for the above-mentioned problems and their convergence is analysed. Finally computational efficiency and convergence orders are also illustrated through numerical examples.