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NUMERICAL STUDY OF ASTROPHYSICS EQUATIONS USING BESSEL COLLOCATION METHODS OF FIRST KIND | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 تیر 1403 اصل مقاله (521.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.52330.2333 | ||
| نویسندگان | ||
| Shelly Arora؛ Indu Bala* | ||
| Department of Mathematics, Punjabi University, Patiala, 147002, Punjab, India. | ||
| چکیده | ||
| A hybrid computational procedure of Newton Raphson method and orthogonal collocation has been applied to study the behaviour of non-linear astrophysics equations. The non-linear Lane Emden equation has been discretized using the orthogonal collocation method using $n^{th}$-order Bessel polynomial as $J_n(\xi)$ as base function. The system of collocation equations has been solved numerically using Newton Raphson's method. Numerical examples have been discussed to check the reliability and efficiency of the scheme. Numerically calculated results have been compared to the exact values as well as the values already given in the literature to check the compatibility of the scheme. Error analysis has been studied by calculating the absolute error, $L_2- norm$ and $L_{\infty}- norm$. Computer codes have been prepared using MATLAB. | ||
| کلیدواژه‌ها | ||
| Lane-Emden equation؛ Orthogonal collocation؛ Newton Rephson method؛ Polytropic fluid | ||
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آمار تعداد مشاهده مقاله: 14 تعداد دریافت فایل اصل مقاله: 30 |
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