A new Euler scheme based on harmonic-polygon approach for solving first order ordinary differential equation

NMM Yusop, MK Hasan, M Wook… - AIP Conference …, 2017 - pubs.aip.org
There are many benefits to improve Euler scheme for solving the Ordinary Differential
Equation Problems. Among the benefits are simple implementation and low-cost …

Comparison new algorithm modified euler based on harmonic-polygon approach for solving ordinary differential equation

NMM Yusop, MK Hasan, M Wook… - Journal of …, 2017 - jtec.utem.edu.my
There are many benefits to improve Euler scheme for solving the Ordinary Differential
Equation problems. Among the benefits are simple implementation and low-cost …

Centroidal-Polygon: Solving First Order Ordinary Differential Equation using Centroidal mean to improve Euler Method

ZN Shahirah, S Nooraida, WAWF Hanan… - Journal of Physics …, 2021 - iopscience.iop.org
Euler method is one of the oldest and simplest numerical techniques to solve mathematical
problems. However, the Euler method lacks accuracy compared to other methods such as …

Cube Polygon: A New Modified Euler Method to Improve Accuracy of Ordinary Differential Equation (ODE)

S Nooraida, MMY Nurhafizah, MS Anis… - Journal of Physics …, 2020 - iopscience.iop.org
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 …

[PDF][PDF] Enhanced Euler's Method to Solve First Order Ordinary Differential Equations with Better Accuracy

M Nurujjaman - Journal of Engineering Mathematics & Statistics, 2020 - researchgate.net
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 …

Improving Euler Method using Centroidal-Polygon Scheme for Better Accuracy in Resistor-Capacitor Circuit Equation

NS Zulkifli, N Samsudin… - Journal of Physics …, 2022 - iopscience.iop.org
A first-order ordinary differential equation (ODE) is a function with two variables defined in
the xy-axis of a field. Various numerical methods, such as the Euler method, Runge-Kutta …

Exponentially fitted variants of Euler's method for ODEs

V Kanwar, SK Tomar - … of Mathematical Education in Science and …, 2008 - Taylor & Francis
A new class of Euler's method for the numerical solution of ordinary differential equations is
presented in this article. The methods are iterative in nature and admit their geometric …

[PDF][PDF] Ordinary Differential Equations (ODE) using Euler's technique and SCILAB programming

Z Salleh - Mathematical Models and Methods in Modern Science, 2012 - researchgate.net
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 …

New modification on Heun's method based on contraharmonic mean for solving initial value problems with high efficiency

AH Workie - Journal of Mathematics, 2020 - Wiley Online Library
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 …

[PDF][PDF] A comparative exploration on different numerical methods for solving ordinary differential equations

MA Arefin, B Gain, R Karim… - J. Mech. Cont. & Math …, 2020 - jmcms.s3.amazonaws.com
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 …