Exact and τ-method approximate solutions to a two-phase Stefan problem with Robin condition and exponential sources

Key Points

• The study uncovers both exact and approximate solutions to the two-phase stefan problem, highlighting their differences under varying conditions.
• Key findings reveal that the exponential sources significantly influence phase change behavior, altering temperature distributions.
• The approach involved applying both exact methods and τ-method approximations to solve the complex boundary value problem effectively.
• Understanding these solutions may enable better predictive modeling of materials that experience phase changes, highlighting the necessity for further studies.