RT Journal Article
T1 SFOPDES: A Stepwise First Order Partial Differential Equations Solver with a Computer Algebra System
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Padilla-Domínguez, Yolanda Carmen
A1 Galán-García, María Ángeles
K1 Ecuaciones en derivadas parciales
K1 Pffaf, Problema de
AB Partial Differential Equations (PDE) appear in multiple Physic and Engineering applications. Normally, when modeling an application, the use of well-known and already solved PDE is considered. But what happens if a new PDE is used? Solving a new PDE is not an easy task. In this paper, we use a Computer Algebra System (Cas) in order to find the solution of PDE of first order.Specifically, we deal with Pfaff Equations, Quasilinear PDE and general first order PDE (using Lagrange–Charpit Method).To solve these PDE, we combine the power of a Cas with the flexibility of programming with it. Furthermore, the developed programs do not only provide the final result but also display all the intermediate steps which lead to find the solution of the PDE. This way, we introduce SFOPDES, a new Stepwise First Order PDE Solver which serves as a tutorial showing, step by step, the way to deal with PDE.
PB Elsevier
YR 2019
FD 2019
LK https://hdl.handle.net/10630/33367
UL https://hdl.handle.net/10630/33367
LA eng
NO José Luis Galán-García, Gabriel Aguilera-Venegas, Pedro Rodríguez-Cielos, Yolanda Padilla-Domínguez, María Ángeles Galán-García, SFOPDES: A Stepwise First Order Partial Differential Equations Solver with a Computer Algebra System, Computers & Mathematics with Applications, Volume 78, Issue 9, 2019, Pages 3152-3164, ISSN 0898-1221, https://doi.org/10.1016/j.camwa.2019.05.010.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026