Mbagwu, Johnpaul, Tunç, Cemil, Enjoh, Chris, Onwuemekaa, J.I.. (1400). Solving second order ordinary differential equations by using Newton’s interpolation and Aitken’s methods. هنرهای کاربردی, 13(1), 1057-1066. doi: 10.22075/ijnaa.2021.24027.2657
Johnpaul Chiagoziem Mbagwu; Cemil Tunç; Chris Enjoh; J.I. Onwuemekaa. "Solving second order ordinary differential equations by using Newton’s interpolation and Aitken’s methods". هنرهای کاربردی, 13, 1, 1400, 1057-1066. doi: 10.22075/ijnaa.2021.24027.2657
Mbagwu, Johnpaul, Tunç, Cemil, Enjoh, Chris, Onwuemekaa, J.I.. (1400). 'Solving second order ordinary differential equations by using Newton’s interpolation and Aitken’s methods', هنرهای کاربردی, 13(1), pp. 1057-1066. doi: 10.22075/ijnaa.2021.24027.2657
Mbagwu, Johnpaul, Tunç, Cemil, Enjoh, Chris, Onwuemekaa, J.I.. Solving second order ordinary differential equations by using Newton’s interpolation and Aitken’s methods. هنرهای کاربردی, 1400; 13(1): 1057-1066. doi: 10.22075/ijnaa.2021.24027.2657

Solving second order ordinary differential equations by using Newton’s interpolation and Aitken’s methods

International Journal of Nonlinear Analysis and Applications
مقاله 88، دوره 13، شماره 1، خرداد 2022، صفحه 1057-1066    اصل مقاله (395.54 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24027.2657
نویسندگان
Johnpaul Chiagoziem Mbagwu* 1؛ Cemil Tunç2؛ Chris Enjoh3؛ J.I. Onwuemekaa1
1Department of Physics, Faculty of Physical Science, Imo State University, Owerri, Nigeria.
2Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University 65080, Van-Turkey
3Group Research in Analytical Chemistry, Environment and Climate Change (GRACE\&CC), Department of Chemistry, Faculty of Physical Science, Imo State University, Owerri, Nigeria
چکیده
In this paper, the methods called Newton’s interpolation and Aitken’s methods were developed and examined. We use Newton’s interpolation and Aitken’s methods to find the exact and analytic results for three different types of nonlinear ordinary differential equations (NLODEs) of first and second order through illustrative examples. By using the new method, we successfully handle some class of nonlinear ordinary differential equations of first and second order in a simple and elegant way compared to Newton’s and Lagrange methods in previous studies. One can conclude that Newton’s interpolation and Aitken’s methods are easy to yield and implement actual precise results.
کلیدواژه‌ها
Ordinary differential equation؛ Newton’s interpolation method؛ Aitken’s method
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