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Identifying differential equations by Galerkin's method

Author: Jack W. Mosevich
Journal: Math. Comp. 31 (1977), 139-147
MSC: Primary 65L99; Secondary 34A45
MathSciNet review: 0426447
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Abstract: A numerical technique based on Galerkin's method is presented for computing unknown parameters or functions occurring in a differential equation whose solution is known. Under certain conditions a solution can be shown to exist to the integral equation formulation of this problem. It is also shown that the resulting nonlinear system is nonsingular.

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  • [1] R. Bellman, H. Kagiwada, and R. Kalaba, Invariant imbedding and nonvariational principles in analytical dynamics, Internat. J. Non-Linear Mech. 1 (1966), 51–55 (English, with French, German and Russian summaries). MR 0230538
  • [2] L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, Translated from the 3rd Russian edition by C. D. Benster, Interscience Publishers, Inc., New York; P. Noordhoff Ltd., Groningen, 1958. MR 0106537
  • [3] R. Jonathan Lermit, Numerical methods for the identification of differential equations, SIAM J. Numer. Anal. 12 (1975), 488–500. MR 0384231
  • [4] J. W. MOSEVICH, "Analytical and numerical approximations of a functional differential equation arising in the design of a microwave antenna," Utilitas Math., v. 4, 1973, pp. 129-145.
  • [5] Thomas L. Saaty, Modern nonlinear equations, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0218160
  • [6] Yu. V. Vorobyev, Method of moments in applied mathematics, Gordon and Breach Science Publishers, New York-London-Paris, 1965. Translated from the Russian by Bernard Seckler. MR 0184400

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Keywords: Galerkin's method, differential equation
Article copyright: © Copyright 1977 American Mathematical Society