SODES: Solving ordinary differential equations step by step

نویسندگان

چکیده

In this paper, we introduce SODES (Stepwise Ordinary Differential Equations Solver) a new solver for (ODE). can optionally provide the solution displaying all steps needed to obtain it. This way, is an important tool not only researchers who need solving ODE but also constitutes teaching and learning process of ODE. has been developed using programming with Computer Algebra System (CAS). Specifically, use CAS Derive it be easily adapted any other supporting programming. provides, step by step, following types ODE: separable, homogeneous, exact, integrating factors, linear, Bernoulli, Riccati, first order nth degree, Cauchy’s problems ODE, higher linear homogeneous equations constant coefficients, Lagrange’s method particular solutions coefficients coefficients. deals two generic programs which determine type or given provides solution. paper will draft Graphical User Interface (GUI) in local web application Python (using its module SymPy) more portable free CAS. used English, French Spanish, extended languages. The code GUI are freely available so that users able adapt their needs.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2023

ISSN: ['0377-0427', '1879-1778', '0771-050X']

DOI: https://doi.org/10.1016/j.cam.2023.115127