Results 71 to 80 of about 1,609 (176)

New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations

Frontiers in Applied Mathematics and Statistics
The purpose of this article is to explore a new method for solving one of the nonlinear partial differential equations (NPDE) which is difficult to solve.
Nathanon Sribua-Iam, Settapat Chinviriyasit   +1 more
doaj   +1 more source

Beyond circular trigonometry: Parabolic functions from geometric identities

Alifmatika
This paper presents an innovative extension of trigonometric functions to parabolic geometry, introducing the parabolic sine (sinp u) and parabolic cosine (cosp u) functions.
Laith H. M. Al-ossmi
doaj   +1 more source

Approximation of entire functions of exponential type by trigonometric sums

, 2020
Let $σ>0$. For $1\le p\le \infty$, the Bernstein space $B^p_σ$ is a Banach space of all $f\in L^p(R)$ such that $f$ is bandlimited to $σ$; that is, the distributional Fourier transform of $f$ is supported in $[-σ, σ]$. We study the approximation of\ $f\in B^p_σ by finite trigonometric sums \[ P_τ(x)=χ_τ(x) \sum_{|k|\le στ/π}c_{k,τ} e^{i\fracπτk x } \
openaire   +2 more sources

Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation

Ain Shams Engineering Journal
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a Bäcklund transformation for the ...
Nauman Raza, Adil Jhangeer, Zeeshan Amjad, Beenish Rani, Dumitru Baleanu   +4 more
doaj   +1 more source

Approximation of nonnegative functions by means of exponentiated trigonometric polynomials

Journal of Computational and Applied Mathematics, 2002
The author extends work by \textit{J. M. Borwein} and \textit{W. Z. Huang} [SIAM J. Optim. 5, No.~1, 68-99 (1995; Zbl 0820.49016)] on the construction of a trigonometric or algebraic polynomial whose exponential approximates the given function. This is done by means of a Toeplitz matrix. Convergence conditions are given and an error analysis is carried
openaire   +2 more sources

To the issue of forecasting price dynamics in the property valuation

Nauka ta progres transportu, 2012
The problems of short-, medium- and long-term forecasting price dynamics are considered. The improvement of short-term forecasting techniques based on exponential smoothing is proposed.
O.N. Gnennyi
doaj  

Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]

Entropy (Basel)
Abdalgadir LM, Ahmad S, Youniso B, Aldwoah K.   +3 more
europepmc   +1 more source

Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)-dimensional paraxial equation in fiber optics via two analytical methods. [PDF]

Sci Rep
Ibrahim IS, Sabi'u J, Iqbal M, Sulaiman S, Alghabban WG, Gouadria S, Nazar NM.   +6 more
europepmc   +1 more source

Efficient Non-Interactive Discrete ReLU over CKKS Using Interpolation Look-Up Table. [PDF]

Entropy (Basel)
Chen Z, Song X, Chen L.
europepmc   +1 more source

A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]

Sci Data
Dana Mazraeh H, Eslami S, Afzal Aghaei A, Parand K.   +3 more
europepmc   +1 more source