There are many benefits to improve Euler scheme for solving the Ordinary Differential
Equation problems. Among the benefits are simple implementation and low-cost …

There are many benefits to improve Euler scheme for solving the Ordinary Differential
Equation Problems. Among the benefits are simple implementation and low-cost …

Abstract Ordinary Differential Equation (ODEs) problems can solve using Euler method.
Euler method suitable for first-order numerical and it is an effective and easy method. The …

Euler's method is the most basic and simplest explicit method to solve first-order ordinary
differential equations (ODEs). Many other complex methods like the Runge-Kutta method …

Construction ofalgorithmisa significant aspect in solving a problembefore being transferred
totheprogramming language. Algorithm helped a user to do their job systematic and can be …

Mathematics is very important for the engineering and scientist but to make understand the
mathematics is very difficult if without proper tools and suitable measurement. A numerical …

In this paper, small modification on Improved Euler's method (Heun's method) is proposed to
improve the efficiency so as to solve ordinary differential equations with initial condition by …

The Euler method is a typical one for numerically solving initial value problems of ordinary
differential equations. Particle swarm optimization (PSO) is an efficient algorithm for …

The main focus of this paper is to develop hybrid numerical method with greater efficiency
for getting the solution of initial value problems (IVPs) in ordinary differential equations …

In this paper, the initial value problem of Ordinary Differential Equations has been solved by
using different Numerical Methods namely Euler's method, Modified Euler method, and …