The aim of this project is to compare and analyze the behavior of the different numerical methods used for solving system of linear equations: Gauss Elimination. Gauss Jordan. LU Decomposition. Gauss ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

The aim of this study is to give a Legendre polynomial approximation for the solution of the second order linear hyper-bolic partial differential equations (HPDEs) with two variables and constant ...

This course provides an introduction to mathematical logic, linear algebra and numerical analysis. Linear algebra aims to solve large systems of equations and to analyse these solutions, while ...

Pair of Linear Equations in Two Variables Class 10 Notes: Revision notes for CBSE Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables have been presented in the article along with ...

Abstract: Based on the three-stage split-step scheme, a second-order split-step precise-integration time-domain (SS2-PITD) method is proposed for solving Maxwell's equations, which has a better ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...