Results 21 to 30 of about 1,700 (198)

Stability Analysis of Singly Diagonally Implicit Block Backward Differentiation Formulas for Stiff Ordinary Differential Equations

Mathematics, 2019
In this research, a singly diagonally implicit block backward differentiation formulas (SDIBBDF) for solving stiff ordinary differential equations (ODEs) is proposed.
Saufianim Jana Aksah, Zarina Bibi Ibrahim, Iskandar Shah Mohd Zawawi   +2 more
doaj   +1 more source

A comparison of stiff ODE solvers for atmospheric chemistry problems [PDF]

Atmospheric Environment, 1996
In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stiff systems of ordinary differential equations describing the chemical transformations. In this paper a numerical comparison is presented between two special purpose solvers developed for this task.
Verwer, J.G., Blom, J.G., van Loon, M., Spee, E.J.   +3 more
openaire   +4 more sources

Numerical solution of stiff ODEs describing complex homogeneous chemical processes [PDF]

, 2020
In this manuscript, the two novel numerical methods for stiff ODEs-the Almost Runge-Kutta (ARK) and Aluffi-Pentini (AP)-are applied to the solution of two large stiff ODE systems that model the Belousov-Zhabotinskii reaction and air pollution process ...
Klymenko, OV, Shulyk, VN, Svir, IB
core   +1 more source

Numerical Solutions for Systems of Fractional and Classical Integro-Differential Equations via Finite Integration Method Based on Shifted Chebyshev Polynomials

Fractal and Fractional, 2021
In this paper, the finite integration method and the operational matrix of fractional integration are implemented based on the shifted Chebyshev polynomial.
Ampol Duangpan, Ratinan Boonklurb, Matinee Juytai   +2 more
doaj   +1 more source

A ($\alpha $)-Stable Linear Multistep Methods for Stiff IVPs in ODEs [PDF]

, 2011
summary:In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus of the methods shows that the schemes are A-stable for step
Ikhile, M. N. O., Okuonghae, R. I.
core   +1 more source

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
doaj   +1 more source

A Block Solver of Variable Step Variable Order for Stiff ODEs [PDF]

, 2022
A block solver of variable step variable order (BSVSVO) is suggested for stiff ordinary differential equations (ODEs). The block solver is employed to enhance the performance for stiff ODEs via variable step variable order to achieve faster ...
Ogunniyi, P.O., Abodunrin, T.J, Oghonyon, J. G.   +2 more
core   +1 more source

A new order m – 1 rational integrator with an inhomogeneuous constant

Scientific African, 2023
In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations.
Fidelis Ebhohomen, Matthew Olanrewaju Oluwayemi   +1 more
doaj   +1 more source

On implicit Taylor series methods for stiff ODEs [PDF]

, 1991
Several versions of implicit Taylor series methods (ITSM) are presented and evaluated. Criteria for the approximate solution of ODEs via ITSM are given. Some ideas, motivations, and remarks on the inclusion of the solution of stiff ODEs are outlined.
Corliss, G. F., Kirlinger, G.
core   +5 more sources

Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods

Advances in Difference Equations, 2021
In this paper we propose a stable finite difference method to solve the fractional reaction–diffusion systems in a two-dimensional domain. The space discretization is implemented by the weighted shifted Grünwald difference (WSGD) which results in a stiff
Rongpei Zhang, Mingjun Li, Bo Chen, Liwei Zhang   +3 more
doaj   +1 more source