On solving second order nonlinear differential equations
Author:
Chong-Hung Zee
Journal:
Quart. Appl. Math. 22 (1964), 71-73
DOI:
https://doi.org/10.1090/qam/166931
MathSciNet review:
166931
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Abstract |
References |
Additional Information
Abstract: A direct power series substitution technique is proposed to solve second order nonlinear differential equations. The errors in truncated power series are estimated to determine the significance of the result.
- Harold T. Davis, Introduction to nonlinear differential and integral equations, Dover Publications, Inc., New York, 1962. MR 0181773
R. A. Buckingham, Numerical methods, Sir Isaac Pitman & Sons, Ltd., London, 1957, pp. 180–184
Ibid, p. 88
J. B. Scarborough, Numerical mathematical analysis, The Johns Hopkins Press, Baltimore, 1958, 4th Edition, pp. 174–176
C. H. Zee, Rocket in drag-free vertical powered flight under constant thrust, to appear in J. Astronautical Sci.
C. H. Zee, Powered flight trajectories of rockets under oriented constant thrust, AIAA J. 1 (1963) 602–606
C. H. Zee, Spatial powered flight trajectories of space vehicles under oriented constant thrust, Astronautica Acta, 9 (1963) 107–114
Harold T. Davis, Introduction to nonlinear differential and integral equations, Dover Publications, Inc., New York, 1962, pp. 247–266
R. A. Buckingham, Numerical methods, Sir Isaac Pitman & Sons, Ltd., London, 1957, pp. 180–184
Ibid, p. 88
J. B. Scarborough, Numerical mathematical analysis, The Johns Hopkins Press, Baltimore, 1958, 4th Edition, pp. 174–176
C. H. Zee, Rocket in drag-free vertical powered flight under constant thrust, to appear in J. Astronautical Sci.
C. H. Zee, Powered flight trajectories of rockets under oriented constant thrust, AIAA J. 1 (1963) 602–606
C. H. Zee, Spatial powered flight trajectories of space vehicles under oriented constant thrust, Astronautica Acta, 9 (1963) 107–114
Additional Information
Article copyright:
© Copyright 1964
American Mathematical Society
