Results 71 to 80 of about 9,706 (180)
Multi-derivative hybrid block methods for singular initial value problems with application
Scientific AfricanThis study presents a novel class of multi-derivative integrating techniques designed to effectively address singular initial value problems. This study not only delves into the application of these methods but also explores their potential in solving ...
Sabastine Emmanuel +2 more
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A method of skipping the transient phase in the solution of separably stiff ordinary initial value problems [PDF]
Mathematics of Computation, 1980 Stiff systems of ordinary differential equations are characterized by an initial phase in which the solution changes rapidly. Often there is no interest in reproducing this transient phase. A method is proposed for modifying the initial value if the system of differential equations is separably stiff, i.e.
openaire +2 more sources
The SBP-SAT Technique for Initial Value Problems
, 2013 A detailed account of the stability and accuracy properties of the SBP-SATtechnique for numerical time integration is presented. We show how thetechnique can be used to formulate both global and multi-stage methods withhigh order of accuracy for both ...
Lundquist, Tomas, +3 more
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Extrapolation of Runge-Kutta methods for stiff initial value problems
, 1989 Full text is available to authenticated members of The University of Auckland only.Extrapolation methods provide one of the important types of numerical integrators for ordinary differential equations with an efficient stepsize control mechanism and a ...
Chan, Robert Peng Kong
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Block Procedure for Solving Stiff First Order Initial Value Problems Using Chebyshev Polynomials
, 2019 In this study, discrete fourth order implicit linear multistep methods (LMMs) in block form for the solution of stiff first order initial value problems (IVPs) was presented using power series as a basis and the Chebyshev polynomials. The method is based
Seid Yimer
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African Scientific ReportsThe numerical solution of second-order ordinary differential equations (ODEs) is examined in this work through a four-step linear multistep method. It employs a combination of trigonometric and polynomial functions as the approximate solution to the ...
Opoyemi O. Enoch, Catherine O. Alakofa
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, 2021 Background: In this paper we developed a parallel block method for the solution of stiff initial value problems in ordinary differential equation. The objective is to show that the boundary locus plot of the block method is A-stable and L-stable for ...
Akpodamure, O.G., Adeyeye, F.J.
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The Finite Mode Predictor-Corrector Methods in the Framework of General Linear Methods
پژوهشهای ریاضی, 2020 Introduction General linear methods(GLM) was developed by Butcher in 1966 as an extension of the traditional Runge-Kutta and linear multistep methods [1]. The classification of GLMs is an important open and active research area. Many authors studied GLMs
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Nine-Stage Runge–Kutta–Nyström Pairs Sharing Orders Eight and Six
MathematicsWe explore second-order systems of non-stiff initial-value problems (IVPs), particularly those cases where the first derivatives are absent. These types of problems are of significant interest and have applications in various domains, such as astronomy ...
Hadeel Alharbi +5 more
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Numerical solutions of nonlinear STIFF initial value problems by perturbed functional iterations
, 1982 Numerical solution of nonlinear stiff initial value problems by a perturbed functional iterative scheme is discussed. The algorithm does not fully linearize the system and requires only the diagonal terms of the Jacobian.
Dey, S. K.
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