Results 21 to 30 of about 6,208 (302)
An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations
Complexity, 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
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Mathematics, 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
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UMYU 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
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Unique solvability of numerical methods for stiff delay- integro-differential equations
Journal of Integral Equations and Applications, 2010 Zhang, Chengjian, Lv, Peng
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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
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Alexandria 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
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Active Structural Control by Backstepping Design Considering Soil-structure Interaction Effects [PDF]
Journal 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
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Direct numerical simulation of turbulence at lower costs [PDF]
, 1995 Direct Numerical Simulation (DNS) is the most accurate, but also the most expensive, way of computing turbulent flow. To cut the costs of DNS we consider a family of second-order, explicit one-leg time-integration methods and look for the method with the
Veldman, A.E.P. +5 more
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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 Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations
Journal of Mathematics, 2023 In order to solve systems of nonlinear equations, two novel iterative methods are presented. The successive over-relaxation method and the Chebyshev-like iterative methods to solve systems of nonlinear equations have combined to obtain the new algorithms.
Hooman Darvishi, M. T. Darvishi
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