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Exact solution of system of linear integral equations using new approximate method

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Exact solution of system of linear integral equations using new approximate method

Abstract

Exact solution of system of linear integral equations using new approximate method

참고문헌 (16)

  1. T.A. Burton, "Volterra Integral and Differential Equations" (2005), Elsevier
  2. H. Brunner, "Collocation Method for Volterra Integral and Related Functional Equations" (2004), Cambridge University Press
  3. K. Maleknejad, "Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method", Appl. Math. Comput, 161, pp.915~922 (2005)
  4. L.M. Delves, "Computational Methods for Integral Equations" (1985), Cambridge University Press
  5. K. Maleknejad, "Numerical solution of Fredholm and Volterra integral equation of the second kind by using Legendre wavelets", Kybernetes, 32(910), pp.1530~1539 (2003)
  6. M. Sezer, "Taylor polynomial solution of Volterra integral equations", Int. J. Math. Edu. Sci. Tech, 25(5), pp.625~ (1994)
  7. K. Maleknejad, "Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials", Appl. Math. Comput, 188, pp.123~128 (2007)
  8. A. Akyuz-Dascioglu, "Chebyshev polynomial solutions of systems of higher-order linear Fredholh- Volterra integro-differential equations", J. Franklin Inst, 342, pp.688~701 (2005)
  9. M. Ghasemi, "Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method", Appl. Math. Comput, 188, pp.446~449 (2007)
  10. J. Biazar, "He's homotopy perturbation method for solving system of Volterra integral equations of the second kind", Chaos Solitons Fract, 39(2), pp.770~777 (2009)
  11. A. Tahmasbi, "Numerical solution of linear Volterra integral equations system of the second kind", Appl. Math. Comput, 201, pp.547~552 (2008)
  12. M. Rabbani, "Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method", Appl. Math. Comput, 187, pp.1143~1146 (2007)
  13. S. Yalnbas, "Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations", Appl. Math. Com- put, 127, pp.195~206 (2002)
  14. H.H. Sorkun, "Approximate solutions of linear Volterra integral equation systems with variable coeffcients", Appl. Math. Modell, 34, pp.3451~3464 (2010)
  15. F. Mirzaee, "Numerical computational solution of the linear Volterra integral equations system via rationalized Haar functions", 22, pp.265~268 (2010)
  16. J. Biazar, "Solution of a system of Volterra integral equations of the first kind by Adomainmethod", Appl. Math. Comp, 139, pp.240~258 (2003)

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