In this article, a variable step size strategy is adopted in formulating a new variable step
hybrid block method (VSHBM) for the solution of the Kepler problem, which is known to be a …

Regularized Solution of the Cauchy Problem in an Unbounded Domain Next Article in Journal
Study of Weak Solutions for Degenerate Parabolic Inequalities with Nonlocal Nonlinearities Next …

Second-order oscillatory problems have been found to be applicable in studying various
phenomena in science and engineering; this is because these problems have the …

When a differential equation exhibits chaos, stiffness, dam** and/or oscillation in its
solution component, such a differential equation is termed rigid. Over the years, solving such …

Over the years, the systematic search for stiff model solvers that are near-optimal has
attracted the attention of many researchers. An attempt has been made in this research to …

In this research article, a pair of optimized two-step second derivative methods is derived
and implemented on stiff systems. The influence of equidistant and non-equidistant hybrid …

It is a known fact that in most cases, to integrate an oscillatory problem, higher order A-stable
methods are often needed. This is because such problems are characterized by stiffness …

Attracted by the importance of ordinary differential equations in many physical situations like,
engineering, business and health care in particular, an effective and successful numerical …

When finding numerical solutions to stiff and nonstiff initial value problems using linear
multistep methods, ill-conditioned systems are often encountered. In this paper, we …

A one-step three-parameter optimized hybrid block method and second derivative hybrid
block method with optimized points were proposed to solve first-order ordinary differential …