Europe PMC

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations.

In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs).
IEEE

A numerical approach for solving a class of two-dimensional variable-order fractional optimal control problems using Gegenbauer operational matrix

Abstract: This study presents a spectral method for solving the two-dimensional variable-order fractional optimal control problems (2D-VOFOCPs). In this work, a dynamic system with variable-order ...
GitHub

derivitives_findings.md

After seeing that the diagonal values of the inverse appear to be increasing with increases in t, we moved on to supporting that finding analytically with the derivative. The diagonal values of a ...
IEEE

Solving for Inverse-Like Dynamic Matrices of Variables and Derivatives Using Zhang Neural Dynamics (ZND) Equivalency

Abstract: Solving for inverse-like dynamic matrices of variables and derivatives is exciting and challenging. Although it may be encountered in the fields of industrial control or scientific research, ...
Europe PMC

A Kalman Filter for Nonlinear Attitude Estimation Using Time Variable Matrices and Quaternions.

The nonlinear problem of sensing the attitude of a solid body is solved by a novel implementation of the Kalman Filter. This implementation combines the use of quaternions to represent attitudes, time ...
GitHub

The dimension of S-parameters matrix for a simple taper is not a 2x2 matrix?

Hi @hammy4815, much thanks for developing this fantastic tool! I really enjoy diving into it. But I did run into a bit of confusion when running an example of a ...