Results 81 to 90 of about 4,343 (294)
, 2001 Using Mathcad, Maple, Mathmatica, or MatLab, learner should be able to use differentiation to find coefficients of polynomial approximations to functions that are not polynomials
Smith, David; Moore, Lawrence
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Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations [PDF]
, 2006 WOS: 000241246700006A Taylor collocation method is presented for numerically solving the system of high-order linear Fredholm-Volterra integro-differential equations in terms of Taylor polynomials.
Sezer, Mehmet, Guelsu, Mustafa
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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
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A Taylor-type numerical method for solving nonlinear ordinary differential equations
Alexandria Engineering Journal, 2013 A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
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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
Sibling curves of cubic polynomials [PDF]
, 2020 Sibling curves are a new way to represent the zeroes of any complexvalued function. Interesting results are already known for the sibling curves of quadratic polynomials.
Wiggins, Harry
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Shenzhen Daxue xuebao. Ligong banTo address the issues of limited accuracy and poor adaptability in the traditional geomagnetic benchmark map modeling, we propose a construction method for regional geomagnetic benchmark map based on Taylor polynomial expansion.
LI Yunhong +6 more
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Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, EarlyView.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
wiley +1 more source
People and Nature, EarlyView.Abstract Noise pollution is an environmental stressor negatively affecting humans and biodiversity. Noise pollution is often measured and regulated according to loudness, but in this study, we assessed noise pollution based on human perceptions of soundscapes.
Caren B. Cooper +3 more
wiley +1 more source
Application of Variation Theory in Teaching and Learning of Taylor Polynomials with GeoGebra [PDF]
, 2012 We report on a teaching experiment regarding Taylor polynomial approximations at the level of university mathematics teaching. The experiment was carried by using the free dynamic mathematics software GeoGebra.
Attorps, Iiris, +3 more
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