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A comparison between Adomian decomposition method and Taylor series method in the series solutions
Applied Mathematics and Computation, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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Trefftz Methods and Taylor Series
Archives of Computational Methods in Engineering, 2019 The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite
Yang, Jie +6 more
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Radial basis Taylor series method and its applications
Engineering Computations, 2020 Purpose The study aims to present a new meshless method based on the Taylor series expansion. The compact supported radial basis functions (CSRBFs) are very attractive, can be considered as a numerical tool for the engineering problems and used to obtain the trial solution and its derivatives without differentiating the basis functions for a meshless ...
KARAMANLI, Armağan Fatih
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Application of the Modern Taylor Series Method to a multi-torsion chain
Simulation Modelling Practice and Theory, 2013 Abstract In this paper the application of a novel high accuracy numerical integration method is presented for a practical mechanical engineering application. It is based on the direct use of the Taylor series. The main idea is a dynamic automatic order setting, i.e.
Georg Fuchs +4 more
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Quadratized Taylor series methods for ODE numerical integration
Applied Mathematics and Computation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alessandro Borri +2 more
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Engineering Analysis With Boundary Elements, 2012 International audienceWe study a meshless method based on Taylor series approximation. This method solves quasi-exactly the Partial Differential Equation (PDE) in the domain.
Michel Potier-Ferry +2 more
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Multi-rate Integration and Modern Taylor Series Method
Tenth International Conference on Computer Modeling and Simulation (uksim 2008), 2008It is the aim of the paper to describe both new developed Modern Taylor Series Method (MTSM) and well-known multi-rate integration method in real-time simulations. An example is used to demonstrate methodology of both integration methods. To show how simple it is to solve problem using Taylor series the multi-rate integration is described in a great ...
Jirí Kunovsky +4 more
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A Taylor series expansion method for calculation of the radiation integral for a circular aperture [PDF]
IEEE Transactions on Antennas and Propagation, 2003 The Taylor series expansion method developed in this paper is an efficient algorithm for performing the popular Jacobi series expansion for the radiation integral describing the operation of reflector and other circular aperture antennas.
Savov, S.V., Savov, SV
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2010
An alternative is to use a more sophisticated recurrence relation at each step in order to achieve greater accuracy (for the same value of h) or a similar level of accuracy with a larger value of h (and, therefore, fewer steps).
David F. Griffiths, Desmond J. Higham
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An alternative is to use a more sophisticated recurrence relation at each step in order to achieve greater accuracy (for the same value of h) or a similar level of accuracy with a larger value of h (and, therefore, fewer steps).
David F. Griffiths, Desmond J. Higham
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The positive properties of modern Taylor series method
2015 IEEE 13th International Scientific Conference on Informatics, 2015The paper deals with the computation which is based on an original mathematical method. This method uses the Taylor series for solving differential equations in a non-traditional way.
Jiri Kunovsky +4 more
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