Results 1 to 10 of about 142 (33)

Approximations related to the complete p-elliptic integrals

open access: yesOpen Mathematics, 2022
In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations ...
Zhong Genhong, Ma Xiaoyan, Wang Fei
doaj   +1 more source

The agreement between novel exact and numerical solutions of nonlinear models

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj   +1 more source

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

open access: yesAlexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park   +4 more
doaj   +1 more source

Approximate closed-form formulas for the zeros of the Bessel Polynomials [PDF]

open access: yes, 2011
We find approximate expressions x(k,n) and y(k,n) for the real and imaginary parts of the kth zero z_k=x_k+i y_k of the Bessel polynomial y_n(x). To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex ...
Calderon, Marisol L., Campos, Rafael G.
core   +3 more sources

An advanced variant of an interpolatory graphical display algorithm [PDF]

open access: yes, 2004
In this paper an advanced interpolatory graphical display algorithm based on cardinal B-spline functions is provided. It is well-known that B-spline functions are a flexible tool to design various scale rapresentations of a signal.
ALA, Guido   +4 more
core   +2 more sources

A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric [PDF]

open access: yes, 2017
We derive a numerical algorithm for evaluating the Riemannian logarithm on the Stiefel manifold with respect to the canonical metric. In contrast to the existing optimization-based approach, we work from a purely matrix-algebraic perspective.
Zimmermann, Ralf
core   +2 more sources

New handy and accurate approximation for the Gaussian integrals with applications to science and engineering

open access: yesOpen Mathematics, 2019
In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM).
Sandoval-Hernandez Mario A.   +3 more
doaj   +1 more source

Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative [PDF]

open access: yes, 2011
We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given.
Almeida, R.   +2 more
core   +4 more sources

Fractional order optimal control problems with free terminal time [PDF]

open access: yes, 2013
We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free.
A. A. Kilbas   +23 more
core   +2 more sources

Computation of the entropy of polynomials orthogonal on an interval. [PDF]

open access: yes, 2004
We give an effective method to compute the entropy for polynomials orthogonal on a segment of the real axis that uses as input data only the coefficients of the recurrence relation satisfied by these polynomials.
A. Martínez-Finkelshtein   +15 more
core   +3 more sources

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