Harnessing the analog capacity of quantum processors at the algorithmic level is key to solving computationally hard problems. Neutral atoms offer analog capabilities supporting hundreds of qubits, but state-of-the-art adiabatic protocol struggles with nonadiabatic errors, restricting scalability due to finite coherence times. To address this, we propose and experimentally demonstrate a tailored analog counterdiabatic quantum computing (ACQC) protocol to enhance the computational capabilities of