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Discrete variable methods for a boundary value problem with engineering applications. (English) Zbl 0387.65050


MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
34B05 Linear boundary value problems for ordinary differential equations
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References:

[1] Ivo Babuška, Milan Práger, and Emil Vitásek, Numerical processes in differential equations, In cooperation with R. Radok. Translated from the Czech by Milada Boruvková, Státní Nakladatelství Technické Literatury, Prague; Interscience Publishers John Wiley & Sons, London-New York-Sydney, 1966. · Zbl 0156.16003
[2] L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations, Oxford University Press, New York, 1957. · Zbl 0077.11202
[3] Carl-Erik Fröberg, Introduction to numerical analysis, Second edition, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. · Zbl 0574.65001
[4] Peter Henrici, Discrete variable methods in ordinary differential equations, John Wiley & Sons, Inc., New York-London, 1962. · Zbl 0112.34901
[5] W. D. Hoskins and P. J. Ponzo, Some properties of a class of band matrices, Math. Comp. 26 (1972), 393 – 400. · Zbl 0248.15008
[6] Mathematical methods for digital computers, John Wiley & Sons, Inc., New York-London, 1960. · Zbl 0089.12602
[7] E. L. REISS, A. J. CALLEGARI & D. S. AHLUWALIA, Ordinary Differential Equations with Applications, Holt, Rinehart and Winston, New York, 1976. · Zbl 0334.34002
[8] Riaz A. Usmani and Dereck S. Meek, On the application of a five-band matrix in the numerical solution of a boundary value problem, Utilitas Math. 14 (1978), 21 – 29. · Zbl 0388.65037
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