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Convergence of approximate solution of Fredholm integral equations by using block-pulse functions

K. Maleknejad|L. Torkzadeh|K. Nouri
장전수학회 (Jangjeon Mathematical Society)|2011.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제14권 제3호|pp. 299-306|DOI 10.17777/pjms.2011.14.3.005

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키워드

Integral equationsOperational matrixBlock-pulse hybrid functionsOrthogonal functionsLegendre polynomials.
주제분류수학

초록

In this paper, the properties of the hybrid functions which consist of block-pulse functions plus Legendre polynomials are presented. Then, integral equations are converted into an algebraic system by hybrid of general block-pulse functions and the Legendre polynomials. In continue, approximate solutions of integral equations are derived, finally the numerical examples are included to demonstrate the validity and applicabilit

Abstract

In this paper, the properties of the hybrid functions which consist of block-pulse functions plus Legendre polynomials are presented. Then, integral equations are converted into an algebraic system by hybrid of general block-pulse functions and the Legendre polynomials. In continue, approximate solutions of integral equations are derived, finally the numerical examples are included to demonstrate the validity and applicabilit

참고문헌 (14)

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  8. Kung F.C, "Solution and parameter estimation of linear time invariant delay systems using Laguerre polynomial expansion", Trans. ASME J. Dyn. Syst. Measur. Control, 105, pp.297~301 (1983)
  9. Deb A, "Block pulse functions, the most fundamental of all piecewise constant basis functions", Int. J. Syst. Sci, 25(2), pp.351~363 (1994)
  10. Maleknejad K, "Numerical solution of linear Fredholm integral equation by using hybrid Taylor and block pulse functions", Appl. Math. Comput, 149, pp.799~806 (2004)
  11. Razzaghi M, "Direct method for variational problems via hybrid of blockpulse and Chebyshev functions", Math. Probl. Eng, 6, pp.85~97 (2000)
  12. Marzban H.R, "Optimal control of linear delay systems via hybrid of blockpulse and Legendre polynomials", J. Franklin Inst, 341, pp.279~293 (2004)
  13. Razzaghi M, "Solution of time varying delay systems by hybrid functions", Math. Comput. Simul, 64, pp.597~607 (2004)
  14. Wang X.T, "Numerical solution of delay systems containing inverse time by hybrid functions", Appl. Math. Comput, 173, pp.535~546 (2006)

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