Results 11 to 20 of about 6,208 (302)
Exponential Multistep Methods for Stiff Delay Differential Equations
Axioms, 2022 Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan +3 more
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Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shirley Abelman, Kailash C. Patidar
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Cogent EngineeringUnified constitutive equations have been developed to model the behaviour of metallic materials under various processing conditions. These constitutive equations usually take the form of a set of ordinary differential equations (ODEs), which must be ...
James Dear +3 more
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Modified Singly-Runge–Kutta-TASE Methods for the Numerical Solution of Stiff Differential Equations [PDF]
Journal of Scientific ComputingAbstract Singly-TASE operators for the numerical solution of stiff differential equations were proposed by Calvo et al. in J.Sci. Comput. 2023 to reduce the computational cost of Runge–Kutta-TASE (RKTASE) methods when the involved linear systems are solved by some LU factorization.
Manuel Calvo +2 more
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A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods [PDF]
Scientific ReportsIn this paper, the author introduces the Neural-ODE Hybrid Block Method, which serves as a direct solution for solving higher-order ODEs. Many single and multi-step methods employed in numerical approximations lose their stability when applied in the ...
V. Murugesh +7 more
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Comparison of Numerical Methods for Solving Initial Value Problems for Stiff Differential Equations
GANIT: Journal of Bangladesh Mathematical Society, 1970 Special classes of Initial value problem of differential equations termed as stiff differential equations occur naturally in a wide variety of applications including the studies of spring and damping systems, chemical kinetics, electrical circuits, and so on.
Azad Rahman, Sharaban Thohura
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Journal of Nigerian Society of Physical Sciences, 2021 Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically.
Friday Obarhua +1 more
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Solution of the reactor point kinetics equations by MATLAB computing [PDF]
Nuclear Technology and Radiation Protection, 2015 The numerical solution of the point kinetics equations in the presence of Newtonian temperature feedback has been a challenging issue for analyzing the reactor transients.
Singh Sudhansu S., Dinakrushna Mohapatra
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L-Stable and A-Stable numerical method of order two for stiff differential equation
Soft Computing, 2022 Abstract This article presents a finite difference method of order two for stiff differential equation that will overcome the effects of stiffness since it is A-stable. And, reflect the asymptotic behavior of the solution of the stiff problem since it is L-stable. The classical explicit Runge-Kutta methods of order two are not suitable for
K. Selvakumar, K. Jason
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A Quantitative Comparison of Numerical Method for Solving Stiff Ordinary Differential Equations [PDF]
Mathematical Problems in Engineering, 2011 We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time.
Mohd Yatim, Siti Ainor +3 more
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