DOI: 10.3390/math11153356 ISSN: 2227-7390

A New Efficient Method for Absolute Value Equations

Peng Guo, Javed Iqbal, Syed Muhammad Ghufran, Muhammad Arif, Reem K. Alhefthi, Lei Shi
  • General Mathematics
  • Engineering (miscellaneous)
  • Computer Science (miscellaneous)

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.

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