Results 21 to 30 of about 17,928,638 (295)
Hybrid approximations via second order combined dynamic derivatives on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2007 This article focuses on the approximation of conventional second order derivative via the combined (diamond-$\alpha$) dynamic derivative on time scales with necessary smoothness conditions embedded.
Qin Sheng
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Two derivative and three derivative Runge-Kutta- Nyström methods for second-order ordinary differential equations [PDF]
, 2019 This thesis focuses mainly on deriving special two derivative and three derivative Runge-Kutta-Nyström (STDRKN, SThDRKN) methods for solving general secondorder ordinary differential equations (ODEs).
Salama, Tahani Mohamed
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On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence
Mathematics, 2020 A number of optimal order multiple root techniques that require derivative evaluations in the formulas have been proposed in literature. However, derivative-free optimal techniques for multiple roots are seldom obtained.
Janak Raj Sharma +2 more
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Derivation of a Numerical Method with Free Second-order Derivatives
International Journal of Pure Mathematics, 2022 We have proposed the second-derivative-free numerical method and determined the control parameters to converge cubically. In addition, we have developed the order of convergence and the asymptotic error constant. Applying this iterative scheme to a variety of examples, numerical results have shown a successful asymptotic error constants with cubic ...
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Journal of Applied Mathematics, 2011 Some new higher algebraic order symmetric various-step methods are introduced. For these methods a direct formula for the computation of the phase-lag is given. Basing on this formula, calculation of free parameters is performed to minimize the phase-lag.
Fatheah A. Hendi
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Zanco Journal of Pure and Applied Sciences, 2022 For the simultaneous determination of a binary mixture of amlodipine (AM) and atenolol (AT) in tablets, two approaches were accessible. The first method is the second derivative of the ratio spectra (2DD) that obtained via dividing the absorption ...
Shilan A. Omer +2 more
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Estimation of the Value of Reverse Blood Flow in the Artery by the Second Derivative of the Pulse Pressure Wave [PDF]
Известия Саратовского университета. Новая серия: Физика, 2020 Background and Objectives: Previously, the diastolic section of the pulse wave was most often analyzed as the result of reflection of a direct wave from the elements of peripheral vessels.
Baatyrov, Rahim Taalaibekovich +4 more
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Second derivative two-step peer methods
Mathematical Modelling and AnalysisThis paper is devoted to extending two-step peer methods, for the numerical solution of ordinary differential equations, for the case where the second derivative of the solution is incorporated into the formula of the methods.
Mohammad Sharifi +3 more
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A class of explicit second derivative general linear methods for non-stiff ODEs
Mathematical Modelling and AnalysisIn this paper, we construct explicit second derivative general linear methods (SGLMs) with quadratic stability and a large region of absolute stability for the numerical solution of non-stiff ODEs.
Mohammad Sharifi +3 more
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Trigonometrically-fitted second derivative method for oscillatory problems [PDF]
SpringerPlus, 2014 A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product and applied to solve initial value problems (IVPs) with ...
Ngwane, Fidele, Jator, Samuel
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