Implementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations
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Date
2015
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Abstract
The importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary differential equations. In solving these systems numerical methods are very important because most realistic systems of these equations do not have analytic solutions in applied sciences In this study, we apply Taylor collocation method and Adomian decomposition method to solve the systems of ordinary differential equations. In these both scheme, the solution takes the form of a convergent power series with easily computable components. So, we will be able to make a comparison between Adomian decomposition and Taylor collocation methods after getting these power series. © 2015 AIP Publishing LLC.
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Keywords
Numerical analysis , Numerical methods , Adomian decomposition , Adomian Decomposition Method , Analytic solution , Collocation method , Computable components , Realistic systems , System of ordinary differential equations , Systems of ordinary differential equations , Ordinary differential equations