This paper introduces a new modification to an iterative method for solving Cauchy
problems (IVPs) based on an inverse polynomial technique. The proposed method is proven …

The fluid's heat transfer properties must be effectively utilized to create efficient heat
exchangers. In various existing studies, the application of forced convection leads to …

In this paper, we propose a new numerical scheme based on a variation of the standard
formulation of the Runge–Kutta method using Taylor series expansion for solving initial …

The applications of non-zero self distance function have recently been discovered in both
symmetric and asymmetric spaces. With respect to invariant point results, the available …

In this paper, we consider the differential equation y ″+ ω 2 ρ (x) y= 0, where ω is a positive
parameter. The principal concern here is to find conditions on the function ρ− 1/2 (x) which …

In this study, we devised 4-point implicit block (New 4pb) approaches that take advantage of
second derivatives. The aim provides is more accurate and quicker numerical solutions to …

The main theme of this research paper is to propose an explicit iterative numerical scheme
over the modified Euler's method (MEM) for solving initial value problems in ordinary …

We investigate the core features of the perturbation method with the help of some simple but
sophisticated problems and demonstrate how much accurately it predicts the solutions of the …