Solving systems of ordinary differential equations (ODEs) by using the fourth-order Runge-
Kutta (RK4) method in classroom or in examinations is quite tedious, tiring and boring since …

Even though approximating the definite differentiation by Richardson's extrapolation method
is straight forward, but its repetitive calculations are quite boring. Hence, there is a need to …

Motivated by the previous literature works of spreadsheet solutions of ordinary differential
equations (ODE) and a system of ODEs using fourth-order Runge-Kutta (RK4) method, we …

Even though interpolating bivariate data by Lagrange interpolation is straightforward, its
repetitive calculations are quite boring and complicated if the number of data is large …

Abstract Although Newton‐Cotes integration formulas in engineering have been the subject
of the study for a long time, the improvement in formulations is still object of interest. In this …

Spreadsheet solver using VBA programming has been designed for solving initial value
problems (IVPs), analytically and numerically by all Runge-Kutta (RK) methods including …

In this paper, we have further improved the limitations of our previous two Richardson's
extrapolation spreadsheet calculators for computing differentiations numerically. The new …

Motivated by the work of Richardson's extrapolation spreadsheet calculator up to level 4 to
approximate definite differentiation, we have developed a Romberg integral spreadsheet …

In the previous work on Euler's spreadsheet calculator for solving an ordinary differential
equation, the Visual Basic for Application (VBA) programming was used, however, a …

In this paper, the fourth version of Richardson's extrapolation Excel spreadsheet calculator
for computing differentiations numerically has been upgraded. In this version, a graphical …