TY - JOUR AU - El-Zahar, Essam R. PY - 2013 TI - A Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value Problems JF - American Journal of Applied Sciences VL - 10 IS - 11 DO - 10.3844/ajassp.2013.1363.1370 UR - https://thescipub.com/abstract/ajassp.2013.1363.1370 AB - The time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst