A Higher‐Order Improved Runge–Kutta Method and Cubic B‐Spline Approximation for the One‐Dimensional Nonlinear RLW Equation

KL Redouane, N Arar, A Ben Makhlouf… - Mathematical …, 2023 - Wiley Online Library
This article developed a significant improvement of a Galerkin‐type approximation to the
regularized long‐wave equation (RLW) solution under homogeneous Dirichlet boundary …

[PDF][PDF] AN EFFICIENT NUMERICAL METHOD BASED ON CUBIC B-SPLINE FOR TIME DEPENDENT PROBLEM WITH SMALL PARAMETER.

KL Redouane, N Arar, Q Al-Mdallal - Proceedings of Institute of …, 2022 - proc.imm.az
This work is devoted to the development of a Galerkin-type approximation of the solution of
parabolic reaction-diffusion problems, utilizing cubic B-Spline functions and a finite …

B-Spline Collocation Method for the Fourth-Order Dynamic Beam Equation

KL Redouane, N Arar, P Cattani, F Villecco - International Conference “ …, 2024 - Springer
This study delves into the dynamic behavior of a beam, employing a fourth-order transverse
equation featuring constants like elastic modulus and moment of inertia, and variables such …

B-splines Numerical Simulation of Bernouilli's Beam Equation

KL Redouane, N Arar, P Cattani, F Villecco - International Conference “ …, 2024 - Springer
In this paper we give the numerical simulation of the fourth-order transverse equation
beam's equation, under the assumptions of elastic modulus, constant mass density and an …