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

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 a...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-09, Vol.43 (14), p.8105-8115
Main Authors: Seif, Yaser, Lotfi, Taher
Format: Article
Language:English
Subjects:
Algebra
high order
Integral equations
Iterative methods
Jacobian
Mathematical analysis
nonlinear algebraic equations
Nonlinear equations
Nonlinear systems
Partial differential equations
system of discretized equations
Volterra integral equation
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6202