Academic Journal

A New Efficient Method for Absolute Value Equations

التفاصيل البيبلوغرافية
العنوان: A New Efficient Method for Absolute Value Equations
المؤلفون: Peng Guo, Javed Iqbal, Syed Muhammad Ghufran, Muhammad Arif, Reem K. Alhefthi, Lei Shi
المصدر: Mathematics; Volume 11; Issue 15; Pages: 3356
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2023
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: absolute value equations, Newton–Cotes open formula, convergence analysis, numerical results, beam equation
الوصف: In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton–Cotes formula is taken as a corrector step. The proposed method’s convergence is discussed in detail. This method is very simple and therefore very effective for solving large systems. In numerical analysis, we consider a beam equation, transform it into a system of absolute value equations and then use the proposed method to solve it. Numerical experiments show that our method is very accurate and faster than already existing methods.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: Computational and Applied Mathematics; https://dx.doi.org/10.3390/math11153356
DOI: 10.3390/math11153356
الاتاحة: https://doi.org/10.3390/math11153356
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.20F533A8
قاعدة البيانات: BASE