166
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

A new differential transformation approach for two-dimensional Volterra integral equations

&
Pages 515-526 | Received 28 Dec 2005, Accepted 08 Jan 2007, Published online: 21 May 2007

References

  • Dobner , H. J. 1987 . Bounds for the solution of hyperbolic problems . Computing , 38 : 209 – 218 .
  • Rahman , M. 2002 . A rigid elliptical disc-inclusion in an elastic solid, subject to a polynomial normal shift . Journal of Elasticity , 66 : 207 – 235 .
  • Beltyukov , B. A. and Kuznechikhina , L. N. 1976 . A Rung–Kutta method for the solution of two-dimensional nonlinear Volterra integral equations . Differential Equations , 12 : 1163 – 1173 .
  • Singh , P. 1979 . A note on the solution of two-dimensional Volterra integral equations by spline . Indian Journal of Mathematics , 18 : 61 – 64 .
  • Brunner , H. and Kauthen , J. P. 1989 . The numerical solution of two-dimensional Voterra integral equations by collocation and iterated collocation . IMA Journal of Numerical Analysis , 9 : 47 – 59 .
  • Han , G. Q. and Zhang , L. Q. 1994 . Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation . Applied Mathematics and Computation , 61 : 269 – 285 .
  • Guoqiang , H. , Hayami , K. , Sugihara , K. and Jiong , W. 2000 . Extrapolation method of iterated collocation solution for two-dimensional non-linear Volterra integral equation . Applied Mathematics and Computation , 112 : 49 – 61 .
  • Zhou , J. K. 1986 . Differential Transformation and its Applications for Electrical Circuits , Huarjung University Press .
  • Chen , C. K. and Ho , S. H. 1999 . Solving partial differential equations by two-dimensional differential transform method . Applied Mathematics and Computation , 106 : 171 – 179 .
  • Jang , M. J. , Chen , C. L. and Liy , Y. C. 2000 . On solving the initial-value problems using the differential transformation method . Applied Mathematics and Computation , 115 : 145 – 160 .
  • Abdel-Halim Hassan , I. H. 2002 . Different applications for the differential transformation equations . Applied Mathematics and Computation , 129 : 183 – 201 .
  • Ayaz , F. 2003 . Application of differential transform method to differential-algebraic equations . Applied Mathematics and Computation , 152 : 649 – 657 .
  • Arikoglu , A. and Ozkol , I. 2005 . Solution of boundary value problems for intgro-differential equations by using differential transformation method . Applied Mathematics and Computation , 168 : 1145 – 1158 .
  • Jang , M. J. , Chen , C. L. and Liy , Y. C. 2001 . Two-dimensional differential transform for partial differential equations . Applied Mathematics and Computation , 121 : 261 – 270 .
  • Abdel-Halim Hassan , I. H. 2003 . On solving some eigenvalue problems by using the differential transformation method . Applied Mathematics and Computation , 127 : 1 – 22 .

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.