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

• Autores: Sukanta Kumar Bhatta, K. Suryanarayana Sastri
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 3, 1993, pág. 237
• Idioma: inglés
• DOI: 10.1016/0377-0427(93)90043-b
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• Resumen

  • 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.