پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 162 |
| تعداد شماره‌ها | 6,691 |
| تعداد مقالات | 72,219 |
| تعداد مشاهده مقاله | 129,111,157 |
| تعداد دریافت فایل اصل مقاله | 101,915,365 |
An Approximate Method for System of Nonlinear Volterra Integro-Differential Equations with Variable Coefficients | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 7، دوره 24، شماره 1، خرداد 2013، صفحه 71-79 اصل مقاله (580.43 K) | ||
| نوع مقاله: Original Paper | ||
| نویسنده | ||
| A. Tari | ||
| Department of Mathematics, Faculty of Basic Sciences, Shahed University, Tehran P.O. Box 18155/159, Islamic Republic of Iran | ||
| چکیده | ||
| In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order. We also obtain an error bound for the approximate solution. Since, in this method the coefficients of Taylor series expansion of solution is obtained by a recurrence relation, thus we can use arbitrary number of Taylor series terms to obtain solutions with desired accuracy. Here we give some preliminary results of the differential transform and show that the DT method can be easily applied to a wide class of linear and nonlinear systems. Finally, the accuracy and simplicity of this method will be verified by solving some examples. | ||
| کلیدواژه‌ها | ||
| Volterra integro-differential equations؛ Taylor series؛ Differential transform | ||
|
آمار تعداد مشاهده مقاله: 2,554 تعداد دریافت فایل اصل مقاله: 2,184 |
||
سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب