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Numerical error bounds for fourth order boundary value problems, simultaneous estimation of u(x) and u”(x). (English) Zbl 0536.34004
See the preview in Zbl 0523.34008.
34A40Differential inequalities (ODE)
65J99Numerical analysis in abstract spaces
34B10Nonlocal and multipoint boundary value problems for ODE
34B15Nonlinear boundary value problems for ODE
[1]Ehlich, H., Zeller, K.: Schwankung von Polynomen zwischen Gitterpunkten. Math. Z.86, 41-44 (1964) · Zbl 0131.06602 · doi:10.1007/BF01111276
[2]Ruttmann, B.: Untersuchungen zur Fehlerabsch?tzung von polynomialen N?herungsl?sungen bei Randwertaufgaben gew?hnlicher Differentialgleichungen. Diss. Univ. K?ln, 1982
[3]Schr?der, J.: Operator Inequalities. New York: Academic Press 1980
[4]Schr?der, J.: Fourth order two-point boundary value problems; estimates by two-sided bounds. Nonlinear Analysis (in press)