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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Physics informed neural networks for fluid flow analysis with repetitive parameter initialization [PDF]
Scientific ReportsPhysics-informed neural networks (PINNs) have been widely used to capture the behavior of physical systems governed by partial differential equations (PDEs), enabling the simulation of fluid dynamics across various scenarios.
Jongmok Lee +7 more
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A new adaptive nonlinear numerical method for singular and stiff differential problems
Alexandria Engineering Journal, 2023 In this work, a new adaptive numerical method is proposed for solving nonlinear, singular, and stiff initial value problems often encountered in real life.
Sania Qureshi +6 more
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A comparison of stiff ODE solvers for atmospheric chemistry problems [PDF]
Atmospheric Environment, 1996 In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stiff systems of ordinary differential equations describing the chemical transformations. In this paper a numerical comparison is presented between two special purpose solvers developed for this task.
J G Verwer
exaly +5 more sources
Mendel, 2022 This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti +2 more
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Haar wavelet collocation method for linear first order stiff differential equations [PDF]
ITM Web of Conferences, 2020 In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more ...
Atay Mehmet Tarık +4 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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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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Techniques for Mixed Multiple Shooting for solve Stiff Initial Value Problems
Tikrit Journal of Pure Science, 2023 The object of the research is to develop a number of techniques on the subject of multiple shooting for solving stiff initial value problems, and these techniques increase the accuracy of numerical solutions of stiff problems, as well as reduce the ...
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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Numerical solution of stiff systems of differential equations arising from chemical reactions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region.
Gholamreza Hojjati +3 more
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