Study of general Taylor-like explicit methods in solving stiff ordinary differential equations

In this paper, we present a further study of Taylor-like explicit methods in solving stiff ordinary differential equations. We derive the general form for Taylor-like explicit methods in solving stiff differential equations. We also analyse the order of convergence and stability property for the general form. Moreover, we give its corresponding vector form via introducing a new definition of vector product and quotient in another article. The convergence and stability of the vector form are considered as well.