Results 261 to 270 of about 791,940 (315)

New applications of the functional variable method

Optik, 2017
Abstract In this paper, we study the different types of soliton solutions of the Zoomeron equation and Hirota-Satsuma coupled KdV (HSCKdV) system with the aid of the functional variable method (FVM). Then, we get some special solutions like the bell shaped, triangular and kink soliton solutions.
Mustafa İnç   +2 more
exaly   +2 more sources

Variants of Newton’s method for functions of several variables

Applied Mathematics and Computation, 2006
Newton-like methods are discussed for finding a real solution of a system of nonlinear equations: \(F(x)=0\) in \(\mathbb R^n\). The authors propose a midpoint Newton method: \[ x^{(k+1)} = x^{(k)} - J_F((x^{(k)} + z^{(k)})/2)^{-1}F(x^{(k)}, \quad k=0, 1, \dots. \] Here \(J_F(x)\) is the Jacobian matrix of the function \(F\). \(z^{(k)}\) is defined via
Alicia Cordero, Juan R. Torregrosa
openaire   +2 more sources

A method of polynomial interpolation for the functions of several variables

International Journal of Computer Mathematics, 1990
A new algorithm providing polynomial functions of several variables interpolating any values on given points is proposed. The obtained polynomials are more simpler, in degree and number of monomials, than other ones which have appeared in the literature.
F. J. Asencor, Juan-Miguel Gracia
openaire   +1 more source

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