Understanding implicit vs explicit solver requires examining multiple perspectives and considerations. Explicit FEM: What Is the Difference? Learn the difference between implicit vs explicit FEM (finite element method) and everything you need to know about using these analyses. Implicit Vs Explicit Finite Element Analysis: When to Use Which - TECHNIA. A fundamental question for each finite element problem is the type of solver to use: implicit or explicit? The solver type influences the set of equations that are solved, the availability of certain features, the run time and even whether a solution is obtained.
Explicit FEA – Which Solver Should You Use? Choose the right method for static, dynamic, or nonlinear engineering simulations. What is the easiest most lay way could explain implicit vs explicit : r/fea. Implicit solves F=kx and is independent of time. Explicit solves the full equation of motion and is dependent on time. Edit: maybe I'll add that since OP asked for the absolute simplest layman explanation, this is my answer.
I think it's safe to assume he's not interested in implicit dynamics.
📝 Summary
Important points to remember from this discussion on implicit vs explicit solver reveal the relevance of being aware of these concepts. By applying this information, you can make informed decisions.