Results 21 to 30 of about 112,714 (291)
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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, 2022 In this paper, we introduce a fourth-order accurate finite element method for incompressible variable density flow. The method is implicit in time and constructed with the Taylor series technique, and uses standard high-order Lagrange basis functions in ...
Lundgren, Lukas +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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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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B-series analysis of iterated Taylor methods [PDF]
BIT Numerical Mathematics, 2011 The authors construct stochastic B-series and corresponding growth functions for stochastic implicit Taylor methods that use an iterative scheme for solving stochastic differential equations (SDEs) numerically. They give convergence results based on the order of the underlying Taylor method, the choice of the iteration method, the predictor, and the ...
Debrabant, Kristian, Kværnø, Anne
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Numerical Method for Non-linear Equation by Taylor Series [PDF]
, 2004 application/pdfThe arithmetic operations and functions of Taylor series can be defined by C++ language easily. The functions which consist of arithmetic operations, pre-defined functions and conditional statements can be expanded in Taylor series.
Takeshita, Kazutaka +3 more
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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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Nonlinear Engineering, 2023 Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
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