The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_IJNAA-15-4_030
Index date: 15 March 2024
The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method 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.
The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method Keywords:
Modified matrix exponential , Matrix exponential , Abel equation of the second kind , Nonlinear differential equations , Jacobian matrix
The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method authors
Mohammad Fattahi
Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran
Mashallah Matinfar
Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran
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