The many problems of natural sciences are reduced to solving integro-differential equations
with variable boundaries. It is known that Vito Volterra, for the study of the memory of Earth …

Olusheye Akinfenwa, Member, IEEE, Samuel Jator, and Nianmin Yoa Abstract—A block
backward differentiation formula of uniform order eight is proposed for solving first order stiff …

There are several works dedicated to the investigation of Volterra integro-differential
equations. In addition, there are theoretical and practical representations of stable methods …

As is known, the formation and development of the mathematical methods are largely
related with the successful application of these methods to solve problems of the natural …

There are wide classes of numerical methods for solving ordinary differential equations,
which are involved in the requisite models for almost all of the problems of natural science …

This article proposes a new class of Implicit Hybrid Block Numerov-type methods for the
direct solution of fourth order initial value problems of ordinary differential equations. This …

As is known one of the well-researched mathematical problems is the initial-value problem
for the ODEs. There are some classes of methods for solving this problem. The present time …

In this paper, a self-starting second derivative multistep block method which uses the logic
behind the Simpson's 3/8 rule for quadrature is derived using collocation and interpolation …

The initial-value problem for the ODE is one of the classical mathematical problems, which
was fundamentally investigated by many authors. This problem has been basically studied …

This paper will present the two-point block one-step method for solving stiff ordinary
differential equations (ODE s). The propose block method is A-stable and the order is three …