Background Mathematical modeling and in silico analysis are widely acknowledged as
complementary tools to biological laboratory methods, to achieve a thorough understanding …

A family of modified BDF type block methods for the solution stiff ordinary differential
equations has been constructed in this research. Four different block methods for step …

Ordinary differential equations (ODEs) are a fundamental tool for modeling dynamical
systems in various scientific fields. However, solving ODEs analytically can be challenging …

The thermal–hydraulic dynamics in containment are governed by a system of stiff ordinary
differential equations (ODEs). A fully implicit discretization scheme is adopted to discretize …

A matrix form of coefficients is applied to develop a new family of one-step explicit methods.
Clearly, this type of methods is different from the conventional methods that have scalar …

Learning dynamics governed by differential equations is crucial for predicting and
controlling the systems in science and engineering. Neural Ordinary Differential Equation …

In this paper, an explicit one step method is presented for numerical solution of stiff systems
of ordinary differential equations (ODEs). In this method, the solution of the ODE is …

Solution of a dynamic system is commonly demanding when analytical approaches are
used. In order to solve numerically, describing the motion dynamics using differential …

In this work, we present a technique for the analytical solution of systems of sti ordinary
dierential equations (SODEs) using the power series method (PSM). Three SODEs systems …

In this research article, we focus on the formulation of a 5-point block formula for solving first
order ordinary differential equations (ODEs). The method is formulated via interpolation and …