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Computing

, Volume 7, Issue 1–2, pp 13–16 | Cite as

On the numerical solution of a certain class of non-linear cauchy problems arising from integral equation theory

  • Richard C. AllenJr.
Article

Summary

A numerical algorithm for solving a system of non-linear partial differential integral equations is presented. These equations result from applying the method of invariant imbedding to the solution of a certain class ofFredholm integral equations of the second kind [2]. The algorithm is compared with a more standard method of solution and some numerical results presented.

Keywords

Integral Equation Numerical Algorithm Computational Algorithm Quadrature Formula Actual Answer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Chandrasekhar: Radiative Transfer. New York: Dover Publications Inc. 1960.MATHGoogle Scholar
  2. [2]
    Wing, G. M.: On CertainFredholm Integral Equations Reducible to Initial Value Problems. SIAM Review9, 655–670 (1967).MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Richard C. AllenJr.
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

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