In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation using power series approximation to generate the continuo...
Open access
Research Article10.9734/JAMCS/2018/41557
The Duffing equation is one of the most unique and special non-linear differential equations in light of its many real-world applications in areas ranging from physics to economics. This paper sets out to investigate and study some existing numerical methods proposed by different...
Open access
Research Article10.9734/jamcs/2022/v37i121736
The Darcy-Forchemmer in fluid-saturated porous media finds application in a variety of engineering processes such as heat exchanger devices, chemical catalytic reactors and metallurgical applications-hot rolling of wires, drawing of metals and plastic extrusion. Also, entrepreneu...
Open access
Research Article10.9734/PSIJ/2018/41870
The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where th...
Open access
Research Article10.9734/arjom/2021/v17i930329
This paper examines the implementation of a self-starting five-step eight-order block method with two off-grid for stiff ordinary differential equations using interpolation and collocation procedures. The predictor schemes are then expanded using Taylor’s series expansion. Multip...
Open access
Research Article10.9734/JAMCS/2018/18909