Results 31 to 40 of about 9,706 (180)

A New Fixed Coefficient Diagonally Implicit Block Backward Differentiation Formula for Solving Stiff Initial Value Problems

UMYU Scientifica Journal
Stiff initial value problems in ordinary differential equations occur when solution components evolve at varying rates, posing challenges for traditional computational methods.
Hamza Yusuf, Musa Hamisu, Alhassan Buhari   +2 more
doaj   +1 more source

Super class of implicit extended backward differentiation formulae for the numerical integration of stiff initial value problems [PDF]

Computational Algorithms and Numerical Dimensions
An implicit Superclass of non-block Extended Backward Differentiation Formulae (SEBDF) for the numerical integration of first-order stiff system of Ordinary Differential Equations (ODEs) in Initial Value Problems (IVPs) with optimal stability properties ...
Hamisu Musa, Buhari Alhassan
doaj   +1 more source

BLOCK PROCEDURE WITH IMPLICIT SIXTH ORDER LINEAR MULTISTEP METHOD USING LEGENDRE POLYNOMIALS FOR SOLVING STIFF INITIAL VALUE PROBLEMS

Journal of Fundamental and Applied Sciences, 2018
In this paper, a discrete implicit linear multistep method in block form of uniform step size for the solution of first-order ordinary differential equations is presented using the power series as a basis function.
Y. Berhan, G. Gofe, S. Gebregiorgis
doaj   +1 more source

An Optimal Family of Block Techniques to Solve Models of Infectious Diseases: Fixed and Adaptive Stepsize Strategies

Mathematics, 2023
The contemporary scientific community is very familiar with implicit block techniques for solving initial value problems in ordinary differential equations. This is due to the fact that these techniques are cost effective, consistent and stable, and they
Kinda Abuasbeh, Sania Qureshi, Amanullah Soomro, Muath Awadalla   +3 more
doaj   +1 more source

Dichotomy and conjugate gradients in the stiff initial value problem

Linear Algebra and its Applications, 1981
AbstractWe propose, analyze, and experiment with solution techniques which employ the conjugate gradient algorithm coupled with prediction steps for solving the algebraic equations arising at each mesh point in the numerical development of solutions of the model stiff system x= Ax.
Chern, I-Liang, Miranker, W.
openaire   +1 more source

Treatment of Stiff Initial Value Problems using Block Backward Differentiation formula

, 2013
Some Block Backward Differentiation Formulas (BDFs) capable of generating solutions to Stiff initial value problems are derived using Lagrangian interpolation technique.
Ehigie, JO, Okunuga, SA, Sofoluwe, AB
core   +1 more source

A New Method for Numerical Integration of Higher-Order Ordinary Differential Equations Without Losing the Periodic Responses

Frontiers in Built Environment, 2021
A new numerical method is presented for the solution of initial value problems described by systems of N linear ordinary differential equations (ODEs). Using the state-space representation, a differential equation of order n > 1 is transformed into a ...
John T. Katsikadelis
doaj   +1 more source

Treatment of Stiff Initial Value Problems using Block Backward Differentiation formula

, 2015
Some Block Backward Differentiation Formulas (BDFs) capable of generating solutions to Stiff initial value problems are derived using Lagrangian interpolation technique.
Ehigie, JO, Okunuga, SA, Sofoluwe, AB
core   +1 more source

Comparing the Performance of Two Butcher-Based Block Hybrid Algorithms for the Solution of Initial Value Problems

Axioms
In this paper, we compare the performances of two Butcher-based block hybrid methods for the numerical integration of initial value problems. We compare the condition numbers of the linear system of equations arising from both methods and the absolute ...
Richard Olatokunbo Akinola, Ali Shokri, Joshua Sunday, Daniela Marian, Oyindamola D. Akinlabi   +4 more
doaj   +1 more source

(α)-Stable Multi-Derivative GLM

Journal of Algorithms & Computational Technology, 2015
This paper considers multi-derivative general linear methods and thus presents some second and third derivative general linear methods of orders 5, 7 and 10 in its output methods for computing the solution of stiff initial value problems in ordinary ...
R. I. Okuonghae, M. N. O. Ikhile
doaj   +1 more source