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

نویسندگان
Fattahi, Mohammad ID 1
Matinfar, Mashallah ID 2

1 Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran

doi
10.22075/ijnaa.2023.30796.4496
چکیده

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.

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