Department of Mathematics and Computer Sciences, Marist College, Poughkeepsie, NY, USA. This equation arises in many fields of mathematics and physics. It has applications in random processes, optimal ...

The aim of this study is to use Maple18 to solve the Volterra-Fredholm integral equation with the Adomian decomposition process. Integral equations are fundamental sciences in our everyday lives; they ...

Abstract: Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in ...

Abstract: This paper discusses a novel method of exact discretization obtaining an equivalent difference equation whose solution is equal to the solution of a differential equation at discrete ...

This repository is a collection of Jupyter Notebooks, containing methods for solving different types of PDEs, using Numpy and SciPy. Most notebooks take a special case of the general ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...

Using ODE to calculate how much the acceleration (with the direction) needed from the rocket booster to change the trajectory and bring the Apollo 13 back to earth safely. It involves programming of ...