Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method
Journal of Mathematics, 2022 The stiff differential equations occur in almost every field of science. These systems encounter in mathematical biology, chemical reactions and diffusion process, electrical circuits, meteorology, mechanics, and vibrations. Analyzing and predicting such
Mubashir Qayyum, Qursam Fatima
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An approximate numerical solution of some of the stiff linear boundary values problems of the second order using the method of matching with multiple shooting and interpolation. [PDF]
مجلة التربية والعلم, 2009 The purpose of this research combining the algorithm of superposition with multiple shooting and interpolation designing for solving Stiff linear boundary value problems in ordinary differential equations.
Mohammed Altai, Suhaib Abdulbaqi
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Solution of the reactor point kinetics equations by MATLAB computing [PDF]
Nuclear Technology and Radiation Protection, 2015 The numerical solution of the point kinetics equations in the presence of Newtonian temperature feedback has been a challenging issue for analyzing the reactor transients.
Singh Sudhansu S., Dinakrushna Mohapatra
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Adaptive integration algorithm for stiff ordinary differential equations
Lietuvos Matematikos Rinkinys, 1999 The accuracy of one adaptive integration algorithm is investigated. The accuracy of the discretization is estimated by comparing the discrete and exact stability factors.
Raimondas Čiegis, Olga Suboč
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Journal of Nigerian Society of Physical Sciences, 2021 Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically.
Friday Obarhua +1 more
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Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems
Applied Sciences, 2022 Integration of a larger stiff system of initial value problems emerging from chemical kinetics models requires a method that is both efficient and accurate, with a large absolute stability region. To determine the solutions of the stiff chemical kinetics
Hira Soomro +7 more
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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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Investigation of rigid dynamic systems on the example of modelling a tape drive mechanism [PDF]
MATEC Web of Conferences, 2020 The features of modeling the dynamics of mechanical systems on the example of the operation of the tape drive mechanism related to real technological processes are stated.
Nigay Ruslan +2 more
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A test of numerical instability and stiffness in the parametrizations of the ARPÉGE and ALADIN models [PDF]
Geoscientific Model Development, 2013 Meteorological numerical weather prediction (NWP) models solve a system of partial differential equations in time and space. Semi-lagrangian advection schemes allow for long time steps. These longer time steps can result in instabilities occurring in the
M. Tudor
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Solving Stiff Differential Equations with the Method of Patches [PDF]
Journal of Computational Physics, 1998 A new approach for solving stiff systems of nonlinear ordinary differential equations is presented. In the case of an autonomous scalar differential equation \( \dot x (t) = f (x(t)) \), the authors propose to define a suitable grid in the \(x\)-variable \( x_0 < x_1 < \ldots x_N\) replacing the original system by \( \dot y (t) = f_L ( y(t))\) where \(
Brydon, David +2 more
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