In this paper an eighth step block method has been developed to obtain the approximate
solution of an initial value problem involving fifth order ordinary differential equations. The …

A new higher-implicit block method for the direct numerical solution of fourth order ordinary
differential equation is derived in this research paper. The formulation of the new formula …

This paper carries a different approach of collection and interpolation to develop a tenth
block method for the numerical solution of linear or nonlinear ordinary differential equations …

In this paper, a hybrid block approach (six-step) is proposed to find the approximate solution
for the fifth order differential equation, instead of reducing it to the lowest order systems of …

In this paper, a class of five point's mono hybrid linear multistep method for solving nth order
ordinary differential equations has been developed. In the derivation, Power series …

Block methods for the solution of fourth order ordinary differential equations are
conventionally developed with specific grid or off-grid points. An implicit five-step block …

A zero-stable block method for solving fourth order initial value problems of ordinary
differential equations directly is proposed. Interpolation and collocation techniques are …

This study presents the derivation of two-step fifth-order hybrid scheme based on the
combination of Hermite and shifted Chebyshev polynomials as bases functions of the …

A new numerical method for solving fourth order ordinary differential equations directly is
proposed in this paper. Interpolation and collocation were employed in developing this …

Contribution/Originality: The study uses Lucas polynomial for the derivation of a new class of
numerical schemes. The schemes were implemented in block mode for approximating fourth …