Author

• K. Ivaz

University of Tabriz

Abstract

Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.

Keywords

• Product integration
• Stefan problem
• Weakly singular Volterra integral equations
• Kinetic function
• Newton's method