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Original Articles

An automatic procedure for the solution of fourth order differential equations by chebyshev polynomials

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Pages 177-191 | Received 14 Dec 1989, Published online: 08 May 2007

References

  • Boateng , G. K. 1975 . A practical Chebyshev collocation method for differential equations . Intern. Journal of Comp. Maths , 5 : 59 – 79 . Section B
  • Clenshaw , C. W. 1956 . The numerical solution of ODE's in Chebyshev series . Proc. Camb. Phil. Soc. , 53 : 134 – 149 .
  • Fox , L. and Parker , I. B. 1968 . Chebyshev Polynomials in Numerical Analysis , Oxford University Press .
  • Horner T. S. Chebyshev polynomials in the solution of second order ODE's Loughborough University Leicestershire 1976 Internal Report, Comp. Studies 28
  • Lanczos , C. 1957 . Applied Analysis , New York, London : Prentice-Hall, Pitman .
  • Lanczos , C. 1938 . Trigonometrical interpolation of empirical and analytical functions . Math. Phys. , 17 : 123 – 199 .
  • Murphy C. P. Numerical Methods for Solving Ordinary and Partial Differential Equations Loughborough University 1978 Ph. D. Thesis
  • Morris , A. G. and Horner , T. S. 1977 . Chebyshev polynomials in the numerical solution of differential equations . Math. of Computation , 31 ( 140 ) : 881 – 891 .
  • Wright , K. 1964 . Chebyshev collocation methods for ordinary differential equations . Computer Journal , 6 ( 140 ) : 358 – 363 .

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