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An efficient multistep iteration scheme for systems of nonlinear algebraic equations associated with integral equations

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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… Click to show full abstract

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.

Keywords: scheme systems; multistep iteration; efficient multistep; iteration scheme; integral equations; algebraic equations

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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