Results 21 to 30 of about 9,706 (180)
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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UMYU Scientifica Journal, 2022 The development and formulation of a most reliable and efficient numerical schemes for the integration of stiff systems of ordinary differential equations in terms of order, convergence, stability requirements, accuracy, and computational expense has ...
Buhari Alhassan +2 more
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Mathematics, 2022 When finding numerical solutions to stiff and nonstiff initial value problems using linear multistep methods, ill-conditioned systems are often encountered.
Richard Olatokunbo Akinola +3 more
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An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
Alexandria Engineering Journal, 2022 In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi +5 more
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Journal of Nigerian Society of Physical Sciences, 2022 This paper considered the formulation of continuous third derivative trigonometrically fitted method for the solution of oscillatory first order initial value problems using the technique of interpolation and collocation of the approximate solution by ...
M. Kida +3 more
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A new type OF hybrid multistep multiderivative formula for solving stiff IVPs
Advances in Difference Equations, 2019 We present a new class of higher-order multistep multiderivative methods for the numerical solution of stiff initial value problems. These methods are obtained based on free parameters and off-point. The methods have minimum error bounds. The constructed
P. Agarwal, Iman H. Ibrahim
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A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems
Journal of Algorithms & Computational Technology, 2014 This paper considers a new class of high order hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae
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An Implicit Method for Numerical Solution of Singular and Stiff Initial Value Problems [PDF]
Journal of Computational Engineering, 2013 An implicit method has been presented for solving singular initial value problems. The method is simple and gives more accurate solution than the implicit Euler method as well as the second order implicit Runge-Kutta (RK2) (i.e., implicit midpoint rule) method for some particular singular problems.
Mohammad Kamrul Hasan 0004 +3 more
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Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
Mathematics, 2023 The second-order system of non-stiff Initial Value Problems (IVP) is considered and, in particular, the case where the first derivatives are absent.
Vladislav N. Kovalnogov +5 more
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Block Third Derivative Trigonometrically-Fitted Methods for Stiff and Periodic Problems
Journal of Nigerian Society of Physical Sciences, 2020 This article constructed and implemented a family of a third derivative trigonometric fitted method of order k+3 whose coefficients are functions of frequency and step size for the integration of systems of first-order stiff and periodic Initial Value ...
Ridwanulahi Abdulganiy +4 more
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