Initial-value methods for computing eigenvalues of two point boundary value problem

Ravi P. Agarwal; Y. M. Chow

Archivum Mathematicum (1987)

  • Volume: 023, Issue: 1, page 1-8
  • ISSN: 0044-8753

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Agarwal, Ravi P., and Chow, Y. M.. "Initial-value methods for computing eigenvalues of two point boundary value problem." Archivum Mathematicum 023.1 (1987): 1-8. <http://eudml.org/doc/18200>.

@article{Agarwal1987,
author = {Agarwal, Ravi P., Chow, Y. M.},
journal = {Archivum Mathematicum},
keywords = {eigenvalues; eigenfunctions; Sturm-Liouville problem; test problems; Fortran program},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Initial-value methods for computing eigenvalues of two point boundary value problem},
url = {http://eudml.org/doc/18200},
volume = {023},
year = {1987},
}

TY - JOUR
AU - Agarwal, Ravi P.
AU - Chow, Y. M.
TI - Initial-value methods for computing eigenvalues of two point boundary value problem
JO - Archivum Mathematicum
PY - 1987
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 023
IS - 1
SP - 1
EP - 8
LA - eng
KW - eigenvalues; eigenfunctions; Sturm-Liouville problem; test problems; Fortran program
UR - http://eudml.org/doc/18200
ER -

References

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  1. R. P. Agarwal, The numerical solution of multipoint boundary value problems, J. Comp. Appl. Math. 5 (1979), 17-24. (1979) Zbl0394.65025MR0525607
  2. R. P. Agarwal, On the method of complementary functions for nonlinear boundary-value problems, J. Optimization theory and Appl. 36 (1982), 139-144. (1982) Zbl0448.34016MR0663340
  3. M. M. Chawla, C. P. Katti, A new fourth order method for computing eigenvalues of two point boundary value problems, BIT, 20 (1980), 511-514. (1980) Zbl0477.65062MR0605908
  4. M. M. Chawla, C. P. Katti, A new fourth order method for computing eigenvalues of two point boundary value problems: an addendum, BIT, 23 (1982), 397-398. (1982) MR0705006
  5. E. A. Coddington, N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955. (1955) Zbl0064.33002MR0069338
  6. L. Collatz, Eigenwertprobleme und ihre numerische Behandlung, Chelsea Pub. Comp. New York, 1948. (1948) 
  7. L. Collatz, The Numerical Treatment of Differential Equations, 3rd ed. Springer, Berlin, 1960. (1960) Zbl0086.32601MR0109436
  8. L. Fox, The Numerical Solution of Two Point Boundary Value Problems in Ordinary Differential Equations, Oxford University Press, London, 1957. (1957) MR0102178
  9. C. E. Fröberg, Introduction to Numerical Analysis, Addison-Wesley Pub. Comp., Inc, Reading, Massachusetts, 1965. (1965) MR0175272
  10. E. Hille, Lectures on Ordinary Differential Equations, Addison-Wesley, Reading, Massachusetts, 1969. (1969) Zbl0179.40301MR0249698
  11. H. B. Keller, Numerical Methods for Two-Point Boundary-Value Problems, Blaisdell Pub. Comp., Waltham, Massachusetts 1968. (1968) Zbl0172.19503MR1207811
  12. H. B. Keller, Numerical Solution of Two Point Boundary Value Problems, CBMS-NSF Regional Conference Series in Appl. Math. 24, SIAM, Philadelphia, 1976. (1976) MR0433897
  13. Z. Nehari, On computation of eigenvalues for differential equations by Newton's method, Trans. Amer. Math. Soc. 263 (1981), 397-409. (1981) Zbl0453.34029MR0594416
  14. S. M. Robert, J. S. Shipman, Two-Point Boundary Value Problems: Shooting Methods, Elsevier, New York, 1972. (1972) MR0323119

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