Overview

This thread will monitor the development of a new FEAScript solver for 1D linear differential equations with the following general form:

,

where u is the unknown quantity we want to find (e.g., temperature, concentration, displacement). x is the position along a 1D line. A, B, C, D are coefficients that the user will provide. By choosing different values for them, the user can model different physical situations.

Tasks

• Review and update the mesh generation and nodal numbering process for 1D meshes
• Create a new generalFormPDEScript solver for 1D differential equations, where the differential equation will be converted into the "weak", integral, form.
• Create a new tutorial and compare the results with the analytical solution
• Integrate the solver with FEAScript's existing utilities