Results 1 to 10 of about 25,417,473 (341)
Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method
Journal of Mathematics, 2022 The stiff differential equations occur in almost every field of science. These systems encounter in mathematical biology, chemical reactions and diffusion process, electrical circuits, meteorology, mechanics, and vibrations. Analyzing and predicting such
Mubashir Qayyum, Qursam Fatima
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Ain Shams Engineering Journal, 2021 In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense.
Hytham.A. Alkresheh, Ahmad Izani Ismail
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Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems
Journal of King Saud University - Science, 2016 In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems.
M. Alshbool, I. Hashim
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Advanced Stiff Systems Detection
Acta Electrotechnica et Informatica, 2011 The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE’s), from the most simple such ...
Václav Šátek +2 more
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High-Order Schemes of Exponential Time Differencing for Stiff Systems with Nondiagonal Linear Part [PDF]
Journal of Computational Physics, 2022 Exponential time differencing methods is a power tool for high-performance numerical simulation of computationally challenging problems in condensed matter physics, fluid dynamics, chemical and biological physics, where mathematical models often possess ...
E. V. Permyakova, D. Goldobin
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Two new classes of exponential Runge–Kutta integrators for efficiently solving stiff systems or highly oscillatory problems [PDF]
International Journal of Computational Mathematics, 2022 We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods.
Bin Wang, Xianfa Hu, Xinyuan Wu
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Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs
Mathematics, 2021 In this paper, a new class of Runge–Kutta-type collocation methods for the numerical integration of ordinary differential equations (ODEs) is presented. Its derivation is based on the integral form of the differential equation.
Janez Urevc, Miroslav Halilovič
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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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Optimized two-step second derivative methods for the solutions of stiff systems
Journal of Physics Communications, 2022 In this research article, a pair of optimized two-step second derivative methods is derived and implemented on stiff systems. The influence of equidistant and non-equidistant hybrid points spacing on the performance of the methods derived is investigated.
J. Sunday
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Stiff systems of ordinary differential equations. III. Partially stiff systems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1982 AbstractThe partially stiff system of ordinary differential equationsis studied by the methods developed in the earlier papers in this series. Here e is a small positive parameter, x and y are n- and m-vectors respectively, and A is nonsingular. A useful basis for the solution space of the homogeneous system is constructed and the method of variation ...
Mahony, J. J., Shepherd, J. J.
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