Results 11 to 20 of about 83,156,277 (277)

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

open access: yes, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core   +7 more sources

Stability regions for one-step multiderivative methods [PDF]

open access: yes, 1981
Stability regions are plotted for certain members of a family of one-step multiderivative predictor-corrector methods developed by the authors in an earlier paper.
Khaliq, AQM, Twizell, EH
core   +6 more sources

Ride Analysis For Suspension System of off-Road Tracked Vehicles [PDF]

open access: yes, 1991
In this work. an attempt has been made to develop a programming package for ride analysis of off-road vehicles based upon a finite-element formulation of vehicle suspension systems.
Kasim, Salim Y.
core   +7 more sources

Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]

open access: yes, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +4 more sources

An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations

open access: yesComplexity, 2022
The pantograph equation arises in electrodynamics as a delay differential equation (DDE). In this article, we provide the ϑ-method for numerical solutions of pantograph equations. We investigate the stability conditions for the numerical schemes.
Fathalla A. Rihan, Ahmed F. Rihan
doaj   +1 more source

A Class of Hybrid Multistep Block Methods with A–Stability for the Numerical Solution of Stiff Ordinary Differential Equations

open access: yesMathematics, 2020
Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A –stability are ...
Zarina Bibi Ibrahim   +1 more
doaj   +1 more source

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

open access: yesFrontiers 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

Convergence of the Fourth Order Variable Step Size Super Class of Block Backward Differentiation Formula for Solving Stiff Initial Value Problems

open access: yesUMYU Scientifica Journal, 2022
In many fields of study such as science and engineering, various real life problems are created as mathematical models before they are solved. These models often lead to special class of ordinary differential equations known as stiff ODEs.
Najamuddeen Bala, Hamisu Musa
doaj   +1 more source

Investigation on Ginzburg-Landau equation via a tested approach to benchmark stochastic Davis-Skodje system

open access: yesAlexandria Engineering Journal, 2021
We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri   +3 more
doaj   +1 more source

Active Structural Control by Backstepping Design Considering Soil-structure Interaction Effects [PDF]

open access: yesJournal of Rehabilitation in Civil Engineering, 2022
Considering the dependency of control algorithms to the structural dynamic properties that are affected by soil structure interactions (SSI), the investigation of SSI effect on different control methods has gained great importance. Backstepping design as
Farzaneh Modiri, Ehsan Darvishan
doaj   +1 more source

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