IEEE

Finite-difference time-domain (fdtd) matlab codes for first- and second-order em differential equations [testing ourselves]

Abstract: A set of two-dimensional (2D) electromagnetic (EM) MATLAB codes, using both first-order coupled differential (Maxwell) equations and second-order decoupled (wave) equations, are developed ...
Scientific Research Publishing

Comparative Studies between Picard’s and Taylor’s Methods of Numerical Solutions of First Ordinary Order Differential Equations Arising from Real-Life Problems ()

To solve the first-order differential equation derived from the problem of a free-falling object and the problem arising from Newton’s law of cooling, the study compares the numerical solutions ...
Scientific Research Publishing

On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation ()

In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary ...
GitHub

This repository contains codes for solving partial differential equations using Finite Difference Methods in MATLAB.

The codes developed in this repository are credited to all the members of the course NMPDE - Numerical Methods for Partial Differential Equations (2018) instructed by Prof. D. Palla, Dept. of ...
IEEE

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...