Scientific Research Publishing

An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations ()

Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA; Department of Mathematics, Faculty of Science, Benha University, Benha, ...
Scientific Research Publishing

Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons ()

Department of Mathematics, Islamic Azad University, Fasa Branch, Fasa, Iran. [4] J. Heittokangas, R. Korhonen and J. Rattya, “Growth Estimates for Solutions of Linear Complex Differential Equations,” ...
IEEE

A collocation method for the numerical solution of a class of linear stochastic integral equations based on Legendre polynomials

Abstract: In this paper, a collocation method will introduce. This method is applied to obtain the numerical solution of a class of linear stochastic integral equations. For this purpose, the ...
IEEE

Polynomial Approximation of Transient Voltage Stability Region Boundary in the Parameter Space Based on Collocation Method

Abstract: Transient voltage stability region boundary (TVSRB) in the parameter space corresponds to a set of system variable parameters, under which the transient voltage trajectory of a key bus ...
GitHub

theory_orthogonal_collocation.rst

A dynamic system model is at the core of all model predictive control (MPC) and moving horizon estimation (MHE) formulations. This model allows to predict and optimize the future behavior of the ...
GitHub

nikola-m/bernstein-poly

The code presented here is used in the paper: Symmetries of Bernstein Polynomial Differentiation Matrices and Applications to Initial Value Problems, Symmetry 2025 ...