فهرست نشریات علمی دسترسی آزاد ایران

‎We all know that parabolic equations with non-classical boundary conditions and Stefan's problem have become very popular in recent years due to their many applications in more basic and applied science problems‎. ‎Also‎, ‎differential equations with integral conditions have found wide applications in solving chemistry and physics problems‎. ‎Many problems that appear in heat transfer can be reduced to non-classical problems with integral conditions‎.‎In this document‎, ‎we first mention the application of Stefan's one-phase problems‎, ‎including the non-classical thermal equation and the integral boundary condition‎, ‎in problems related to chemistry‎. ‎Then we examine a numerical technique to solve it and prove the convergence of the method‎.‎Finally‎, ‎numerical examples are presented to demonstrate the effectiveness of the method for solving linear and nonlinear diffusion-response equations with these non-classical conditions‎.