Results 51 to 60 of about 9,706 (180)

Some New Hybrid Block Methods for Solving Non-stiff Initial Value Problems of Ordinary Differential Equations

, 2022
In this paper, we derive some new-step hybrid block methods (HBM) for the solution of first-order non-stiff initial value problems (IVPs) of ordinary differential equations (ODEs).
Yunusa, S, Adee, S.O
core   +1 more source

Correction in the dominant space: a numerical technique for a certain class of stiff initial value problems [PDF]

Mathematics of Computation, 1977
Consider a stiff linear initial value problem y ′ =
Alfeld, P., Lambert, J. D.
openaire   +2 more sources

Adaptive solution of problems modeled by unified state variable constitutive equations

Computer Assisted Methods in Engineering and Science, 2023
The objective of the work was an efficient, numerical implementation of one of the unified, internalstate-variable constitutive models. Such models are general and convenient in numerical applications since they describe elastic, plastic, viscous ...
Witold Cecot, Waldemar Rachowicz
doaj  

Extended one-step block method for solving stiff initial value problem [PDF]

, 2015
An extended 2-point one-step block method formula with order four is formulated for solving stiff initial value problem. The method is similar to Runge-Kutta method which has a self-starting formula.
Zanariah Abdul Majid, Mukhtar, Nur Zahidah, Abdul Majid, Zanariah, Nur Zahidah Mukhtar   +3 more
core   +1 more source

Finite element solutions to boundary value problems

, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core  

An introduction to regular splines and their application for initial value problems of ordinary differential equations

, 1975
This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
core  

Uniqueness Theorems for Stiff ODE Initial Value Problems.

, 1987
The paper presents a new uniqueness theory for ODE initial value problems, derived in view of numerical stiff integration. The theory supplies stepsize bounds for stiff integrators that can easily be estimated in extrapolation methods.
Deuflhard, Peter
core  

Lobatto deferred correction for stiff two-point boundary value problems

, 1998
An iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties of general deferred correction
Bashir-Ali, Z., Cash, J.R., Cash, JR, Silva, HHM, Silva, H.H.M.   +4 more
core   +1 more source

Semi-analytic time differencing methods for singularly perturbed initial value problems

, 2022
We implement our new semi-analytic time differencing methods, applied to singularly perturbed non-linear initial value problems. It is well-known that, concerning the singularly perturbed initial problem, a very stiff layer, called initial layer, appears
Jung, Chang-Yeol, Lee, Hoyeon, Gie, Gung-Min   +2 more
core   +1 more source

Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs

Journal of Algorithms & Computational Technology, 2013
In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae, M. N. O. Ikhile, S. O. Ogunleye   +2 more
doaj   +1 more source