Numerical Approximation of Real Finite Nonnegative Function by the Modulus of Discrete Fourier Transform

Petro Savenko, Myroslava Tkach

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine.

DOI: 10.4236/am.2010.11008                

Abstract

The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect to two variables by the modulus of double discrete Fourier transform dependent on two parameters, are constructed and justified.

Keywords

Mean-Square Approximation, Discrete Fourier Transform, Two-Dimensional Nonlinear Integral Equation, Nonuniqueness And Branching of Solutions

Conflicts of Interest

The authors declare no conflicts of interest.

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