COMPARISON OF NUMERICAL METHODS FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

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dc.contributor.authorBoshnaq, Abdul Fattah
dc.date.accessioned2024-12-15T10:00:22Z
dc.date.available2024-12-15T10:00:22Z
dc.date.issued2024-10-31
dc.description.abstractIn this work, we shed the light on the numerical handling of systems of ordinary differential equations. These systems have wide range of applications in mathematical physics, chemistry, biology, stereology, heat conducing and engineering models. After introducing some important aspects of systems of differential equations including the solvability of homogeneous and non-homogeneous systems, we focus on the numerical techniques for solving systems of differential equations. Namely; one step and multistep methods. The one step methods include Euler and Runge-Kutta methods. The multistep methods involve Adams-Bashforth method, Adams-Moulton method and the Predictor-Corrector method. The mathematical framework of these numerical methods together with their convergence properties and their error bound associated with these methods will be presented. The proposed numerical methods will be illustrated by solving some numerical examples. Numerical results show clearly that the multistep methods are more efficient and give faster convergence than other methods.
dc.identifier.urihttps://hdl.handle.net/20.500.11888/19752
dc.language.isoen
dc.publisherAn-Najah National University
dc.supervisorQatanani, Naji
dc.titleCOMPARISON OF NUMERICAL METHODS FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
dc.title.alternativeمقارنة الطرق العددية لحل أنظمة المعادلات التفاضلية العادية
dc.typeThesis
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