Showing 3 results for تیلور
Yadollah Ordokhani,
Volume 9, Issue 1 (10-2010)
Abstract
در این مقاله یک روش عددی مناسب برای حل معادلات انتگرال- دیفرانسیل فردهلم غیر خطی با تأخیر زمانی ارائه شده است. روش مبتنی بر بسط تیلور می باشد. این روش معادله انتگرال- دیفرانسیل و شرایط داده شده را به معادله ماتریسی که متناظر با یک دستگاه از معادلات جبری غیر خطی با ضرایب مجهول بسط تیلور می باشد تبدیل می کند، که از حل دستگاه، ضرایب بسط تیلور تابع جواب به دست می آید. سپس با مثال هایی کارایی روش را ارزیابی می کنیم.
Volume 9, Issue 1 (10-2010)
Abstract
This paper presents an appropriate numerical method to solve nonlinear Fredholm integro-differential equations with time delay. Its approach is based on the Taylor expansion. This method converts the integro-differential equation and the given conditions into the matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Taylor expansion coefficients, so that the solution of this system yields the Taylor expansion coefficients of the solution function. Then, the performance of the method is evaluated with some examples
Volume 10, Issue 1 (3-2010)
Abstract
In this paper, estimation of survey precision for nonlinear estimators is considered and an equation is presented based on sampling and nonsampling variances. Furthermore, by considering the response error model in surveys and the estimators of variance components, some relations are presented to computation of survey precision for nonlinear estimators. As an application case for the results, two typical data sets are considered and survey precisions of a nonlinear estimator are computed in the both data sets.
