Three-dimensional Differential Transform Method for Solving Nonlinear Three-dimensional Volterra Integral Equations
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Authors
M. Bakhshi
- Department of Mathematics, Faculty of Science Urmia University, P. O. box 165, Urmia, Iran
M. Asghari-Larimi
- Theoretical Division, S. U. Umarov Physical-Technical Institute, Academy of Sciences of the Republic of Tajikistan, Aini Ave 299/1, Dushanbe 734063, Tajikistan
M. Asghari-Larimi
- Department of Mathematics, Golestan University, Gorgan, Iran
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ISRP Style
M. Bakhshi, M. Asghari-Larimi, M. Asghari-Larimi, Three-dimensional Differential Transform Method for Solving Nonlinear Three-dimensional Volterra Integral Equations, Journal of Mathematics and Computer Science, 4 (2012), no. 2, 246--256
AMA Style
Bakhshi M., Asghari-Larimi M., Asghari-Larimi M., Three-dimensional Differential Transform Method for Solving Nonlinear Three-dimensional Volterra Integral Equations. J Math Comput SCI-JM. (2012); 4(2):246--256
Chicago/Turabian Style
Bakhshi, M., Asghari-Larimi, M., Asghari-Larimi, M.. "Three-dimensional Differential Transform Method for Solving Nonlinear Three-dimensional Volterra Integral Equations." Journal of Mathematics and Computer Science, 4, no. 2 (2012): 246--256
Keywords
- Three-dimensional Differential Transform Method
- Threedimensional Volterra Integral Equations
- Taylors series.
MSC
References
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[1]
B. A. Beltyukov, L. N. Kuznechikhina, A Runge-Kutta method for the solution of two-dimensional nonlinear Volterra integral equations, Differentsial'nye Uravneniya, 12 (1976), 1169--1173
-
[2]
H. Brunner, Iterated collocation methods and their discretizations for Volterra integral equations, SIAM J. Numer. Anal., 21 (1984), 1132--1145
-
[3]
H. Brunner, J. P. Kauthen, The numerical solution of two-dimensional Volterra integralequations by collocation and iterated collocation, IMA J. Numer. Anal., 9 (1989), 47--59
-
[4]
P. Darnia, A. Ebadian, Numerical Solutions of the Nonlinear Twodimensional Volterra Integral Equations, New Zealand Journal of Mathematics, 36 (2007), 163--174
-
[5]
H. Guoqiang, K. Hayami, K. Sugihara, W. Jiong, Extrapolation method of iterated collocation solution for two-dimensionalnonlinear Volterra integral equations, Appl. Math. Comput., 112 (2000), 49--61