Sequential second derivative general linear methods for stiff systems

‎Second derivative general linear methods (SGLMs) as an extension‎ ‎of general linear methods (GLMs) have been introduced to improve‎ ‎the stability and accuracy properties of GLMs‎. ‎The coefficients of‎ ‎SGLMs are given by six matrices‎, ‎instead of four matrices for‎ ‎GLMs‎, ‎which are obtained by solving nonlinear systems of order and‎ ‎usually Runge--Kutta stability conditions‎. ‎In this paper‎, ‎we‎ ‎introduce a technique for construction of an special case of SGLMs‎ ‎which decreases the complexity of finding coefficients matrices‎.