IEEE

An optimized MATLAB tool for efficient evaluation of fractional-order differential equations of time-varying orders

Abstract: A usage and benchmarks for a new proposed MATLAB tool for efficient evaluation of fractional-order backward differences, sums, differintegrals, and fractional-order differential equations ...
Scientific Research Publishing

Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method ()

College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China. Many phenomena in engineering physics, ...
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 ...
TechRepublic

Advantages and Disadvantages of Using MATLAB/ode45 for Solving Differential Equations in Engineering Applications

In this paper, the authors demonstrate the route used for solving differential equations for the engineering applications at UAEU. Usually students at the Engineering Requirements Unit (ERU) stage of ...
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 ...
GitHub

negarrezaeinejad/Numerical-Methods-For-Solving-ODEs

Numerical Differential Equations is a field of mathematics that deals with the numerical approximation of solutions to differential equations. Differential equations are used to model various ...