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A Numerical Scheme to Solve Nonlinear Volterra Integral Equations System of the Second Kind

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Abstract. In this study, we use a recursive method based upon power series to solve nonlinear Volterra integral equations system of the second kind. This method gives an approximate solution as the Taylor expansion for the solution of the system via some simple computations. Numerical examples illustrate the pertinent features of the method.

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Abstract. In this study, we use a recursive method based upon power series to solve nonlinear Volterra integral equations system of the second kind. This method gives an approximate solution as the Taylor expansion for the solution of the system via some simple computations. Numerical examples illustrate the pertinent features of the method.

Keywords

Nonlinear systemVolterra integral equationSimple (philosophy)MathematicsTaylor seriesPower seriesScheme (mathematics)Computation

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