In this paper, we present a general form of N th derivative multistep methods. In these hybrid
multistep multiderivative methods, additional stage points (or off-step points) have been …

In this paper‎,‎ we propose a modification of the second order method‎‎ introduced in [‎‎ Q. Li and‎
X‎.‎ Y.‎ Wu‎, A two-step explicit $ P $-stable method for solving second order initial value …

In this paper, a new two-step hybrid method of twelfth algebraic order is constructed and
analyzed for the numerical solution of initial value problems of second-order ordinary …

In a recent paper, Shokri [14] introduce a new class of hybrid Obrechkoff methods for the
numerical solution of second order initial value problems. In this work, we will derive the new …

In recent times, numerical approximation of 3rd-order boundary value problems (BVPs) has
attracted great attention due to its wide applications in solving problems arising from …

In this paper, we present the two-step trigonometrically fitted symmetric Obrechkoff methods
with algebraic order of twelve. The method is based on the symmetric two-step Obrechkoff …

In this paper, we present a new high order explicit four-step method of eighth algebraic order
for solving second-order linear periodic and oscillatory initial value problems of ordinary …

In this paper, we present a new eight-step singularly P-stable method with vanished phase-
lag and its derivatives up to fifth order for the numerical integration of the one-dimensional …

In this paper, a new family of two-step semi-hybrid schemes of the 12th algebraic order is
proposed for the numerical simulation of initial-value problems of second-order ordinary …

In this paper, we present a new implicit six-step singularly P-stable method with vanished
phase-lag and its derivatives up to fifth order for the numerical integration of the one …