In order to solve general seventh-order ordinary differential equations (ODEs), this study will develop an implicit block method with three points of the form y(7)(ξ)=f(ξ,y(ξ),y′(ξ),y″(ξ),y‴(ξ),y(4)(ξ),y(5)(ξ),y(6)(ξ)) directly. The Hermite interpolation in (GIBM3P) has been derived initial value problems (IVPs) using basic functions interpolating polynomials. A multi-step is constructed be sui...