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Zbl 1087.65055
Daftardar-Gejji, Varsha; Jafari, Hossein
An iterative method for solving nonlinear functional equations.
(English)
[J] J. Math. Anal. Appl. 316, No. 2, 753-763 (2006). ISSN 0022-247X

Summary: An iterative method for solving nonlinear functional equations, viz. nonlinear Volterra integral equations, algebraic equations and systems of ordinary differential equation, nonlinear algebraic equations and fractional differential equations is discussed.
MSC 2000:
*65J15 Equations with nonlinear operators (numerical methods)
45G10 Nonsingular nonlinear integral equations
65R20 Integral equations (numerical methods)
65H10 Systems of nonlinear equations (numerical methods)
65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: nonlinear Volterra integral equations; system of ordinary differential equations; iterative method; contraction; Banach fixed point theorem; fractional differential equation; numerical examples

Cited in: Zbl pre06161115 Zbl 1239.34014 Zbl 1194.65117 Zbl 1189.35357 Zbl 1257.76083 Zbl 1170.65324 Zbl 1159.65049 Zbl 1154.65363

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