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Differential Approximation

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Book cover Methods in Approximation

Part of the book series: Mathematics and Its Applications ((MAIA,volume 26))

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Abstract

In the last chapter we considered the technique of quasilinearization for fitting a known function f(x) to a differential equation by determining the initial conditions and system parameters associated with the chosen differential equation. This was done by numerical methods.

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Bibliography and Comments

  • Bellman, R.,:1970, Methods in Nonlinear Analysis, vol I & II, Academic Press, N.Y.

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  • Bellman, R., and K.L. Cooke,:1963, Differential-Difference Equations, Academic Press, N.Y.

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  • Bellman, R., R. Kalaba and R. Sridhar:1965, “Adaptive Control via Quasilinearization and Differential Approximation”, Pakistan Engineer, 5,2, 94–100

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  • Bellman, R., B.G. Kashef and R. Vasudevan,:1972, “Application of Differential Approximation in the Solution of Integro-Differential Equations”, Utilita Mathematica, 2, 283–390

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  • Bellman, R., B.G. Kashef and R. Vasudevan,:1972, “A Useful Approximation to 2-t e ”, Mathematics of Computation, 26,117, 233–235

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© 1986 D Reidel Publishing Company

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Bellman, R.E., Roth, R.S. (1986). Differential Approximation. In: Methods in Approximation. Mathematics and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4600-2_5

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  • DOI: https://doi.org/10.1007/978-94-009-4600-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8544-1

  • Online ISBN: 978-94-009-4600-2

  • eBook Packages: Springer Book Archive

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