Results 11 to 20 of about 96,609 (262)
A meshless method based on Taylor series [PDF]
WIT Transactions on Modelling and Simulation, 2012 We study a meshless method based on Taylor series approximation. This method solves quasi-exactly the Partial Differential Equation (PDE) in the domain. The boundary conditions are applied by using a least square method as proposed by Zhang et al. for stabilizing collocation method.
Y. Tampango +2 more
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Taylor series for the Adomian decomposition method [PDF]
International Journal of Computer Mathematics, 2011 9 ...
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Mathematics, 2023 In the existing literature, there are only two in-plane equilibrium equations for membrane problems; one does not take into account the contribution of deflection to in-plane equilibrium at all, and the other only partly takes it into account.
Jun-Yi Sun, Ji Wu, Xue Li, Xiao-Ting He
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Journal of Mathematics, 2021 In this study, we develop the differential transform method in a new scheme to solve systems of first-order differential equations. The differential transform method is a procedure to obtain the coefficients of the Taylor series of the solution of ...
Ahmed Hussein Msmali +4 more
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Rational Approximation Method for Stiff Initial Value Problems
Mathematics, 2021 While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov +3 more
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Modification of finite differences method with use of Taylor expansions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The conducted research compares the method of Taylor expansions and the finite difference method. The obtained method of Taylor expansions employs three, four and five series terms.
G. A. Pavlova, I. V. Belyaeva
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Model of the telegraph line and its numerical solution
Open Computer Science, 2018 This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Veigend Petr +2 more
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Taylor Series Based Integration in Electric Circuits Simulations
Advances in Electrical and Electronic Engineering, 2019 This paper deals with the extremely precise, stable and fast solution of the ordinary differential equations. The solution of these is performed using a method based on the Taylor series - The Modern Taylor Series Method.
Vaclav Satek +2 more
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Journal of Mathematics, 2014 In this paper, the differential transformation method is applied to the system of Volterra integral and integrodifferential equations with proportional delays. The method is useful for both linear and nonlinear equations.
Şuayip Yüzbaşı, Nurbol Ismailov
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Open Physics, 2022 Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha +8 more
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