Djukic, Dj. S.; Atanackovic, T. M. Contribution to error estimate. (English) Zbl 0512.34011 J. Math. Anal. Appl. 88, 183-195 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 34A45 Theoretical approximation of solutions to ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 41A25 Rate of convergence, degree of approximation Keywords:error estimate; approximate solution; differential equations second order; two-point boundary conditions PDFBibTeX XMLCite \textit{Dj. S. Djukic} and \textit{T. M. Atanackovic}, J. Math. Anal. Appl. 88, 183--195 (1982; Zbl 0512.34011) Full Text: DOI References: [1] Finlayson, B. A., The Method of Weighted Residuals and Variational Principles (1972), Academic Press: Academic Press New York · Zbl 0319.49020 [2] Churchill, R. V., Fourier Series and Boundary Value Problems (1969), McGraw-Hill: McGraw-Hill New York · Zbl 0025.05403 [3] Collatz, L., Eigenvertaufgaben mit Technischen Anwendungen (1963), Akad. Verlagsgesellschaft: Akad. Verlagsgesellschaft Leipzig [4] Ciarlet, P. G.; Schultz, M. H.; Varga, R. S., Numerical methods of high-order accuracy for nonlinear boundary value problems, Numer. Math., 9, 394-430 (1967) · Zbl 0155.20403 [5] Arthurs, A. M., Complementary Variational Principles (1970), Oxford Univ. Press (Clarendon): Oxford Univ. Press (Clarendon) London/New York · Zbl 0202.38404 [6] Anderson, N.; Arthurs, A. M., Extremum principles and error bounds for a nonlinear singular-boundary value problem in the theory of viscous fluids, Lett. Nuovo Cimento, 3, 13, 562-566 (1972) [7] Arthurs, A. M., Dual extremum principles and error bounds for a class of boundary value problems, J. Math. Anal. Appl., 41, 3, 781-795 (1973) · Zbl 0251.35049 [8] Djukic, Dj. S.; Atanackovic, T. M., Error bounds via a new extremum variational principles, mean-square residual and weighted mean̄square residual, J. Math. Anal. Appl., 75, 203-218 (1980) · Zbl 0429.65083 [9] Vujanovic, B., On one variational principle for irreversible phenomena, Acta Mech., 19, 259 (1974) [10] Vujanovic, B.; Atanackovic, T., On the use of Jourdain’s variational principle in nonlinear mechanics and transport phenomena, Acta Mech., 29, 229 (1978) · Zbl 0395.70018 [11] Markus, L.; Amundson, N. R., Nonlinear boundary-value problems arising in chemical reactor theory, J. Differential Equations, 4, 102 (1968) · Zbl 0155.13301 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.