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Modified chain least squares method and some numerical results | ||
| Iranian Journal of Science | ||
| مقاله 12، دوره 39، شماره 1، خرداد 2015، صفحه 91-99 اصل مقاله (459.9 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.2894 | ||
| نویسندگان | ||
| F. Goharee1؛ E. Babolian* 2؛ A. Abdollahi3 | ||
| 1Department of Mathematics, College of Basic Sciences, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, College of Basic Sciences, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 3Department of Mathematics, Maragheh Branch, Islamic Azad University, Maragheh, Iran | ||
| چکیده | ||
| Recently, in order to increase the efficiency of least squares method in numerical solution of ill-posed problems, the chain least squares method is presented in a recurrent process by Babolian et al. Despite the fact that the given method has many advantages in terms of accuracy and stability, it does not have any stopping criterion and has high computational cost. In this article, the attempt is to decrease the computational cost of chain least squares method by introducing the modified least squares method based on stopping criterion. Numerical results show that the modified method has high accuracy and stability and because of its low computational cost, it can be considered as an efficient numerical method. | ||
| کلیدواژهها | ||
| Chain least squares؛ Lagrange multipliers method؛ Ill- posed problem؛ Integral equations؛ Singular second order initial value differential equations | ||
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