Results 71 to 80 of about 11,041 (298)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

TMPNN: High-Order Polynomial Regression Based on Taylor Map Factorization [PDF]

The paper presents Taylor Map Polynomial Neural Network (TMPNN), a novel form of very high-order polynomial regression, in which the same coefficients for a lower-to-moderate-order polynomial regression are iteratively reapplied so as to achieve a higher-
Ailuro, Stefan, Ivanov, Andrei
core   +1 more source

A polynomial approximation for arbitrary functions [PDF]

, 2012
We describe an expansion of Legendre polynomials, analogous to the Taylor expansion, for approximating arbitrary functions. We show that the polynomial coefficients in the Legendre expansion, and thus, the whole series, converge to zero much more rapidly
Cohen, Michael A., Tan, Can Ozan
core   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Introduction to taylor-maclaurin series [PDF]

, 2016
Taylor polynomial, SeriesAs you increase the number of terms, the Taylor polynomial for the function gets closer to the function. The function can be thought of as a polynomial of infinite degreeComponente Curricular::Educação Superior::Ciências Exatas ...
Rosemond, Paul
core   +2 more sources

Adaptive Numerical Integration Based on Local Taylor Expansions

Journal of Applied Mathematics
This study presents a numerical integration method based on local Taylor polynomial approximations over extended domains. By allowing the expansion point to vary along the interval, x0=x0,i, accurate local representations are obtained with few terms. The
Elizeu Melo da Silva
doaj   +1 more source

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

Polynomial solution of the most general linear Fredholm-Volterra integrodifferential-difference equations by means of Taylor collocation method [PDF]

, 2007
WOS: 000244987700062In this paper, a Taylor collocation method has been presented for numerically solving the high-order general linear Fredholm-Volterra integrodifferential-difference equations with variable coefficients under the mixed conditions in ...
Gulsu, Mustafa, Sezer, Mehmet
core   +1 more source

Introduction to taylor-maclaurin series [PDF]

, 2011
Taylor polynomial, SeriesAs you increase the number of terms, the Taylor polynomial for the function gets closer to the function. The function can be thought of as a polynomial of infinite degreeComponente Curricular::Educação Superior::Ciências Exatas ...
Rosemond, Paul
core   +2 more sources

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source