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MOHSENI MOGHADAM1, M., SAEEDI, H.. (1389). APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS. , 34(1), 59-70. doi: 10.22099/ijsts.2010.2166
M. MOHSENI MOGHADAM1; H. SAEEDI. "APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS". , 34, 1, 1389, 59-70. doi: 10.22099/ijsts.2010.2166
MOHSENI MOGHADAM1, M., SAEEDI, H.. (1389). 'APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS', , 34(1), pp. 59-70. doi: 10.22099/ijsts.2010.2166
MOHSENI MOGHADAM1, M., SAEEDI, H.. APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS. , 1389; 34(1): 59-70. doi: 10.22099/ijsts.2010.2166

APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

Iranian Journal of Science
مقاله 7، دوره 34، شماره 1، اردیبهشت 2010، صفحه 59-70    اصل مقاله (181.55 K)
شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2166
نویسندگان
M. MOHSENI MOGHADAM1* 1؛ H. SAEEDI2
1Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111
2Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, I. R. of Iran, 76169-14111
چکیده
In this paper, first the properties of one and two-dimensional differential transforms are presented.
Next, by using the idea of differential transform, we will present a method to find an approximate solution for
a Volterra integro-partial differential equations. This method can be easily applied to many linear and
nonlinear problems and is capable of reducing computational works. In some particular cases, the exact
solution may be achieved. Finally, the convergence and efficiency of this method will be discussed with some
examples which indicate the ability and accuracy of the method.
کلیدواژه‌ها
Volterra؛ integro-partial differential equations؛ differential transforms
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