A discussion on the approximate solutions of first order systems of non-linear ordinary equations

التفاصيل البيبلوغرافية
العنوان: A discussion on the approximate solutions of first order systems of non-linear ordinary equations
المؤلفون: Alvarez-Sanchez, J. J., Gadella, M., Lara, L. P.
سنة النشر: 2020
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, 34A34
الوصف: We develop a one step matrix method in order to obtain approximate solutions of first order systems and non-linear ordinary differential equations, reducible to first order systems. We find a sequence of such solutions that converge to the exact solution. We study the precision, in terms of the local error, of the method by applying it to different well known examples. The advantage of the method over others widely used lies on the simplicity of its implementation.
نوع الوثيقة: Working Paper
DOI: 10.1002/mma.7387
URL الوصول: http://arxiv.org/abs/2010.01539
رقم الأكسشن: edsarx.2010.01539
قاعدة البيانات: arXiv