RT Conference Proceedings
T1 SPDES: A Step-wise Partial Differential Equations Solver for STEM Education.
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Rodríguez-Cielos, Pedro
A1 Galán-García, María Ángeles
A1 Padilla-Domínguez, Yolanda Carmen
A1 Rodríguez-Padilla, Pablo
A1 Atencia-McKillop, Iván
K1 Ecuaciones en derivadas parciales - Estudio y enseñanza
K1 Álgebra - Estudio y enseñanza
AB STEM (Science, Technology, Engineering and Mathematics) students normally fi nd difficulties when studying Partial Differential Equations (PDE). To help both, the students and teachers, the use of CAS (Computer Algebra Systems) are adequate tools. But not always the use given to CAS is the right one to achieve the goal of easing the teaching and learning process of PDE. We strongly believe that programming with a CAS can help in this task since the developed programs can provide all the intermediate steps to get the solution. This way, students can compare their solutions done by hand with the steps provided by the programs and can  nd the step or steps where they made a mistake.In this talk, we introduce SPDES, a Stepwise Partial Differential Equation Solver (an extension of SFOPDES introduced in [1]) developed in the CAS Derive. SPDES includes new programs to deal with some second order PDE in addition to the  rst order PDE considered in SFOPDES. SPDES can be used as a self tutorial for PDE since it solves, step by step, the typical exercises within the topic. The type of PDE that SPDES can solve are: Pfaff Differential Equations, Quasi-linear PDE, Lagrange-Charpit Method for  first order PDE and the three classical second order PDE: Heat equation, Wave equation and Laplace's equation.We will show the programs developed in SPDES through out solving different examples of typical exercises on PDE providing optionally the solution step by step.
YR 2024
FD 2024
LK https://hdl.handle.net/10630/31927
UL https://hdl.handle.net/10630/31927
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026