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An efficient multistep iteration scheme for systems of nonlinear algebraic equations associated with integral equations
Author(s) -
Seif Yaser,
Lotfi Taher
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6202
Subject(s) - mathematics , nonlinear system , scheme (mathematics) , algebraic equation , convergence (economics) , integral equation , partial differential equation , differential algebraic equation , rate of convergence , algebraic number , iterative method , independent equation , differential equation , mathematical analysis , mathematical optimization , ordinary differential equation , computer science , channel (broadcasting) , computer network , physics , quantum mechanics , economics , economic growth
The aim of this research is to present a new iterative procedure in approximating nonlinear system of algebraic equations with applications in integral equations as well as partial differential equations (PDEs). The presented scheme consists of several steps to reach a high rate of convergence and also an improved index of efficiency. The theoretical parts are furnished, and several computational tests mainly arising from practical problems are given to manifest its applicability.