The new modified Ishikawa iteration method for the approximate solution of different types of differential equations [PDF]
Fixed Point Theory and Applications, 2013 In this article, the new Ishikawa iteration method is presented to find the approximate solution of an ordinary differential equation with an initial condition.
N. Bildik, Yasemin Bakır, A. Mutlu
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Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions. [PDF]
J Nonlinear Sci, 2018 We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links.
Barré J +4 more
europepmc +6 more sources
Fractional order COVID 19 model with transmission rout infected through environment [PDF]
, 2022 In this paper, we study a fractional order COVID-19 model using different techniques and analysis. The sumudu transform is applied with the environment as a route of infection in society to the proposed fractional-order model. It plays a significant part
Ahmad, Aqeel +5 more
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Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg +8 more
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A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities [PDF]
, 2016 7 pages; 3 figures.International audienceIn this article the authors describe the method of construction of approximate chaotic solutions of dynamical model equations with quadratic nonlinearities in a general form using a new accurate numerical method ...
Lozi, René +2 more
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Unconditional Stability for Multistep ImEx Schemes: Theory [PDF]
, 2017 This paper presents a new class of high order linear ImEx multistep schemes with large regions of unconditional stability. Unconditional stability is a desirable property of a time stepping scheme, as it allows the choice of time step solely based on ...
Rosales, Rodolfo Ruben +3 more
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Delay-dependent stability of linear multi-step methods for linear neutral systems [PDF]
, 2020 summary:In this paper, we are concerned with numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical ...
Hu, Guang-Da, Shao, Lizhen
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Modelling and analysis tuberculosis (TB) model with hybrid fractional operator
Alexandria Engineering Journal, 2023 In this work, we aim to propose a hybrid fractional-order model for investigation and observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) operator.
Muhammad Farman +2 more
doaj
Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations
, 2017 JEL Classification: 65L05, 65L06, 65L07, 65D20. In this paper, we show the parallel of Adomian Decomposition Method (ADM) and Lobatto-Runge-Kutta Collocation Method (LRKCM) on first order initial value stiff differential equations.
E. U. Agom, F. Ogunfiditimi, E. Bassey
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Local accuracy and error bounds of the improved Runge-Kutta numerical methods
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, explicit Improved Runge-Kutta (IRK) methods with two, three and four stages have been analyzed in detail to derive the error estimates inherent in them whereas their convergence, order of local accuracy, stability and arithmetic complexity
S. Qureshi +2 more
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