Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method
The aim of this paper is to use the second derivative of Chebyshev polynomials (SDCHPs)
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …
Fejér-quadrature collocation algorithm for solving fractional integro-differential equations via Fibonacci polynomials
YH Youssri, AG Atta - Contemporary Mathematics, 2024 - ojs.wiserpub.com
In this article, we introduce a novel spectral algorithm utilizing Fibonacci polynomials to
numerically solve both linear and nonlinear integro-differential equations with fractional …
numerically solve both linear and nonlinear integro-differential equations with fractional …
[PDF][PDF] An ε-approximate solution of BVPs based on improved multiscale orthonormal basis
Y Zhang, Y Jia, Y Lin - AIMS MATHEMATICS, 2024 - aimspress.com
In the present paper, we construct a set of multiscale orthonormal basis based on Legendre
polynomials. Using this orthonormal basis, a new algorithm is designed for solving the …
polynomials. Using this orthonormal basis, a new algorithm is designed for solving the …