References
- Akyuz-Dascioglu , A. 2004 . Chebyshev polynomial solution of system of linear integral equations . Appl. Math. Comput. , 151 : 221 – 232 .
- Alpert , B. 1993 . Wavelet-like bases for the fast solution of second-kind integral equations . SIAM J. Sci. Comput. , 14 : 159 – 184 .
- Atkinson , K. E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , Cambridge : Cambridge University Press .
- Babolian , E. , Biazar , J. and Vahidi , A. R. 2004 . The decomposition method applied to system of Fredholm integral equations of the second kind . Appl. Math. Comput. , 148 : 443 – 452 .
- Biazar , J. , Babolian , E. and Islam , R. 2003 . Solution of a system of Volterra integral equations of the first kind by Adomian method . Appl. Math. Comput. , 139 : 249 – 258 .
- Golik , W. L. 1998 . Wavelet packets for fast solution of electromagnetic integral equations . IEEE Trans. Ant. Prop. , 46 : 618 – 624 .
- Gulsu , M. and Sezer , M. 2006 . Taylor collocation method for solution of systems of high-order linear Fredholm–Volterra integro-differential equations . Int. J. Comput. Math. , 83 : 429 – 448 .
- Kanwal , R. P. and Liu , K. C. 1989 . A Taylor expansion approach for solving integral equations . Int. J. Math. Educ. Sci. Technol. , 20 : 411 – 414 .
- Kress , R. 1999 . Linear Integral Equations , New York : Springer-Verlag .
- Kythe , P. K. and Puri , P. 2002 . Computational Methods for Linear Integral Equations , Boston : Birkhauser Verlag, Springer .
- Li , X.-F. and Fang , M. 2006 . Modified method for determining approximate solution of Fredholm-Volterra integral equations by Taylor's expansion . Int. J. Comput. Math. , 83 : 637 – 649 .
- Li , X.-F. , Huang , L. and Huang , Y. 2007 . A new Abel inversion by means of the integrals of an input function with noise . J. Phys. A: Math. Theor. , 40 : 347 – 360 .
- Linz , P. 1985 . Analytical and Numerical Methods for Volterra Equations , Philadelphia : SIAM .
- Maleknejad , K. and Aghazadeh , N. 2005 . Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method . Appl. Math. Comput. , 161 : 914 – 922 .
- Maleknejad , K. , Sharezaee , M. and Khatami , H. 2005 . Numerical solution of integral equations system of the second kind by Block-Pulse functions . Appl. Math. Comput. , 166 : 15 – 24 .
- Pour-Mahamoud , J. , Rahimi-Ardabili , M. Y. and Shahmorad , S. 2005 . Numerical solution of system of Fredholm integro-differential equations by the Tau method . Appl. Math. Comput. , 168 : 465 – 478 .
- Ren , Y. , Zhang , B. and Qiao , H. 1999 . A simple Taylor-series expansion method for a class of second kink integral equations . J. Comput. Appl. Math. , 110 : 15 – 24 .
- Sezer , M. 1994 . Taylor polynomial solution of Volterra integral equations . Int. J. Math. Educ. Sci. Technol. , 25 : 625 – 633 .
- Tang , B.-Q. and Li , X.-F. Approximate solution to an integral equation with fixed singularity for a cruciform crack . Appl. Math. Lett. , in press
- Yalcinbas , S. and Sezer , M. 2000 . The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials . Appl. Math. Comput. , 112 : 291 – 308 .