RT Conference Proceedings
T1 SFOPDES: A stepwise tutorial for teaching Partial Differential Equations using a CAS
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Padilla-Domínguez, Yolanda Carmen
A1 Galán-García, María Ángeles
A1 Rodríguez-Cielos, Ricardo
AB Partial Differential Equations (PDE) are one of the most difficult topics that Engineering andSciences students have to study in the different Math subjects in their degree.In this talk we introduce SFOPDES (Stepwise First Order Partial Differential EquationsSolver) aimed to be used as a tutorial for helping both the teacher and the students in theteaching and learning process of PDE.The type of problems that SFOPDES solves can be grouped in the following three blocks:1. Pfaff Differential Equations, which consists on finding the general solution for:P(x; y; z) dx + Q(x; y; z) dy + R(x; y; z) dz = 0(a) General method.(b) Particular cases:i. Separable equations.ii. Exact Pfaff equations.iii. One-separated variable equations.2. Quasi-linear Partial Differential Equations, which consists on finding the generalsolution for: P(x; y; x) p + Q(x; y; z) q = R(x; y; z) (a) General method.(b) Particular solution which contents a given curve.3. Using Lagrange-Charpit Method for finding a complete integral for a given generalfirst order partial differential equation: F(x; y; z; p; q) = 0.(a) General method.(b) Particular cases:i. F(p; q) = 0ii. g1(x; p) = g2(y; q)iii. z = px + qy + g(p; q)
YR 2019
FD 2019-07-25
LK https://hdl.handle.net/10630/18145
UL https://hdl.handle.net/10630/18145
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026