16
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Numerical methods for singular volterra type equations with two point boundary conditions

Pages 193-203 | Received 02 Mar 1989, Published online: 19 Mar 2007

References

  • Brunner , H. 1986 . Polynomial spline collocation methods for Volterra integro-differential equations with weakly singular kernels . IMA J. Numer. Anal. , 6 : 221 – 239 .
  • Cameron , R. F. and Mc Kee , S. 1984 . Product integration methods for second kind Abel integral equations . J. Comp. Appl. Math. , 11 : 1 – 10 .
  • Chawla , M. M. , Mc Kee , S. and Shaw , G. 1986 . Order h 2 method for a singular two-point boundary value problem . BIT , 26 : 318 – 326 .
  • Elliott , D. and Paget , D. F. 1976 . Product integration rules and their convergence . BIT , 16 : 32 – 40 .
  • Garey , L. E. and Gladwin , C. J. 1989 . Numerical methods for second order Volterra integro-differential equations with two point boundary conditions . Utilitas Math. , 35 : 103 – 110 .
  • Garey , L. E. , Gilmore , K. A. and Gladwin , C. J. 1989 . Proc. Eighteenth Conf. Num. Math. Comp . Direct methods for second order Fredholm integro-differential equations with two-point boundary conditions . 1989 . Vol. 69 , pp. 133 – 176 . Univ. of Manitoba .
  • Garey , L. E. 1974 . The numerical solution of Volterra integral equations with singular kernels . BIT , 14 : 33 – 39 .
  • Graham , I. G. , Spence , A. and Shaw , R. E. 1989 . Proc. Eighteenth Conf. Num. Math. Comp . An error indicator for weakly singular integral equations with boundary layers . 1989 . Vol. 68 , pp. 75 – 90 . Univ. of Manitoba .
  • Lubich , Ch. 1987 . Fractional linear multistep methods for Abel-Volterra integral equations of the first kind . IMA J. Numer. Anal. , 7 : 97 – 106 .
  • Mann , W. R. and Wolf , F. 1951 . Heat transfer between solids and gases under nonlinear boundary conditions . Quart. J. Appl. Math. , 9 : 163 – 184 .
  • Mc Kee , S. 1986 . Discretization methods and block isoclinal matrices . J. Numer. Anal. , 3 : 467 – 491 .
  • Milne , E. A. 1921 . Radiative equilibrium in the outer layers of a star . Monthly Notices R.A.S. , 81 : 361 – 375 .
  • Phillips , G. M. 1970 . Analysis of numerical iterative methods for solving integral and integro-differential equations . Comp. J. , 13 : 297 – 300 .
  • Roberts , J. H. and Mann , W. R. 1951 . A nonlinear integral equation of Volterra type . Pacific J. Math. , : 431 – 445 .
  • Schneider , C. 1981 . Product integration for weakly singular integral equations . Math. Comp. , 36 : 207 – 213 .
  • Wolkenfelt , P. H. M. 1982 . The construction of reducible quadrature rules for Volterra integral and integro-differential equations . IMA J. Numer. Anal. , : 131 – 152 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.