The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method

Author(s):

Mohammad Fattahi * , Mashallah Matinfar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, the modified matrix exponential (MME) method under zero-order hold (ZOH) assumption, is applied to solve systems of stiff ordinary differential equations. Some examples are given to illustrate the accuracy and effectiveness of the method. We compare our results with results obtained by matrix exponential (ME) method and by the Matlab ode23 solver.
Keywords:

Modified matrix exponential , Matrix exponential , Abel equation of the second kind , Nonlinear differential equations , Jacobian matrix

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 4, Apr 2024
Pages:
339 to 347
https://www.magiran.com/p2701910  
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