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Original Articles

Approximate solution of fredholm integral equations and piecewise cubic interpolatory polynomials

Pages 205-217 | Received 17 Jul 1990, Published online: 19 Mar 2007

References

  • Baker , C. T. H. 1977 . The Numerical Treatment of Integral Equations , Oxford : Clarendon Press .
  • Atkinson , K. E. 1976 . A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind , Pennsylvania : SIAM .
  • Delves , L. M. and Walsh , J. , eds. 1974 . Numerical Solution of Integral Equations , Oxford : Clarendon Press .
  • Ahlberg , J. H. , Nilson , E. W. and Walsh , J. L. 1967 . The Theory of Splines and their Applications , New York : Academic Press .
  • Netravali , A. N. and Figueiredo , R. J. P. 1974 . Spline approximation to the solution of linear Fredholm integral equation of the second kind . SIAM Jnl. Num. Anal , 11 : 538 – 549 .
  • Smarzewski , R. and Bujalska , A. 1983 . Uniform convergence of cubic and Quadratic X-spline Interpolants . IMA Jnl of Num. Anal. , 3 : 353 – 372 .
  • Behforooz , G. H. , Papamichael , N. and Worsey , A. J. 1980 . A class of Piecewise Cubic Interpolatory Polynomials . Jnl of Inst. Math Applcs. , 25 : 53 – 65 .
  • Hidebrand , F. B. 1974 . Introduction to Numerical Analysis , New York : McGraw-Hill .
  • Behforooz , G. H. and Papamichael , N. 1979 . End conditions for cubic spline interpolation . J. Inst. Math. Applics. , 23 : 355 – 366 .
  • Hidebrand , F. B. 1968 . Finite Difference Equations and Simulations New Jersey : Prentice-Hall Inc., .
  • Parihar , K. S. and Ramachandran , M. P. 1986 . Piecewise cubic interpolatory polynomials and approximatesolution of singular integral equations . Comput. Math. and Applies. , 12 : 1201 – 1215 .
  • Barber , J. R. 1976 . Some thermoelastic contact problems involving frictional heating . Quart. Jnl Mech. Apll. Math. , 19 : 1 – 13 .
  • Green , C. D. 1969 . Integral Equation Methods , London : Thomas Nelson .
  • Young , A. 1954 . The application of approximate product integration to the numerical solution of integral equations . Proc. Roy. Soc. , A 224 : 561 – 573 .

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