 In this work, we focus  on evaluating the PINN potential to replace or accelerate traditional approaches for solving linear systems. We solve the Poisson equation, one of the most critical and computational-intensive tasks in scientific computing , with different source terms.
<clarity>  In this work, we focus  on evaluating the PINN potential to replace or accelerate traditional approaches for solving linear systems. We solve the Poisson equation, one of the most critical and computational-intensive tasks in scientific computing , with different source terms.
 In this work, we focus on evaluating the potential of PINNs as linear solvers in the case of the Poisson equation, one of the most critical and computational-intensive tasks in scientific computing , with different source terms.