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Modification of the numerical-analytical method of successive approximations for boundary-value problems in ordinary differential equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

A method to improve convergence of successive approximations in the study of existence and in the constructin of approximate solutions of nonlinear differential equations in the case of periodic and linear two-point boundary conditions is presented.

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Literature cited

  1. A. M. Samoilenko and N. I. Ronto, Numerical-analytical Methods of Study of Periodic Solutions [in Russian], Vishcha Shkola, Kiev (1976).

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  2. A. M. Samoilenko and N. I. Ronto, Numerical-analytical Methods of Study of Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1985).

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  3. A. M. Samoilenko and V. A. Ronto, “A numerical-analytical method of solutions of boundary-value problems for ordinary differential equations,” Ukr. Mat. Zh.,33, No. 3, 467–475 (1981).

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    A. M. Samoilenko & N. I. Ronto

Authors
  1. A. M. Samoilenko
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  2. N. I. Ronto
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1107–1116, August, 1990.

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Samoilenko, A.M., Ronto, N.I. Modification of the numerical-analytical method of successive approximations for boundary-value problems in ordinary differential equations. Ukr Math J 42, 988–995 (1990). https://doi.org/10.1007/BF01099232

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  • DOI: https://doi.org/10.1007/BF01099232

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