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A discussion on the approximate solutions of first order systems of non-linear ordinary equations.
  • Juan Jose Alvarez,
  • Manuel Gadella,
  • Luis Pedro Lara
Juan Jose Alvarez
University of Valladolid
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Manuel Gadella
University of Valladolid
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Luis Pedro Lara
Instituto de FĂ­sica Rosario Rosario
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Abstract

We develop a one step matrix method in order to obtain approximate solutions of first order non-linear systems and non-linear ordinary differential equations, reducible to first order systems. We find a sequence of such solutions that converge to the exact solution. We apply the method to different well known examples and check its precision, in terms of local error, comparing it with the error produced by other methods. The advantage of the method over others widely used lies on the great simplicity of its implementation.

Peer review status:ACCEPTED

06 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
10 Nov 2020Submission Checks Completed
10 Nov 2020Assigned to Editor
13 Nov 2020Reviewer(s) Assigned
23 Nov 2020Review(s) Completed, Editorial Evaluation Pending
24 Jan 2021Editorial Decision: Revise Major
25 Feb 20211st Revision Received
25 Feb 2021Assigned to Editor
25 Feb 2021Submission Checks Completed
25 Feb 2021Reviewer(s) Assigned
26 Feb 2021Review(s) Completed, Editorial Evaluation Pending
01 Mar 2021Editorial Decision: Revise Minor
04 Mar 20212nd Revision Received
04 Mar 2021Submission Checks Completed
04 Mar 2021Assigned to Editor
04 Mar 2021Reviewer(s) Assigned
04 Mar 2021Review(s) Completed, Editorial Evaluation Pending
05 Mar 2021Editorial Decision: Accept