This paper considered the formulation of continuous third derivative trigonometrically fitted
block method for the solution of stiff and oscillatory problems. The development of the …

A major challenge in simulating chemical reaction processes is integrating the stiff systems
of Ordinary Differential Equations (ODEs) describing the chemical reactions due to stiffness …

This paper aims to select the best value of the parameter ρ from a general set of linear
multistep formulae which have the potential for efficient implementation. The ρ-Diagonally …

This work deals with mathematical modeling applied to the Human Immunodeficiency Virus.
Mathematical aspects analysis is presented, discussed and reviewed. A new model based …

New implicit block formulae that compute solution of stiff initial value problems at two points
simultaneously are derived and implemented in a variable step size mode. The strategy for …

This paper describes a new approach for solving an optimal control problem for a
numerically stiff system. The objective is to move a load from its initial states to its final states …

A new multi-block super class of backward differentiation formula for integrating first order
stiff IVPs with a variable mesh size strategy is derived. The proposed scheme approximate …

This paper focuses on the derivation of an improved 2-point Block Backward Differentiation
Formula of order five (I2BBDF (5)) for solving stiff first order Ordinary Differential Equations …

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 …

A new generalised Taylor-like explicit method for stiff ordinary differential equations (ODEs)
is proposed. The algorithm is presented in its component and vector forms. The error and …