In this research, a compact combination of Chebyshev polynomials is created and used as a
spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam. The …

This article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo
equation. The proposed solution is expressed as a double sum of basis functions that are …

In this study, a new modification of the homotopy perturbation method (HPM) is introduced
for various order boundary value problems (BVPs). In this modification, HPM is hybrid with …

The paper presents a novel method that allows one to establish numerical solutions of linear
and nonlinear ordinary differential equations—with polynomial coefficients—that contain any …

The present paper proposes a mathematical method to numerically treat a class of third-
order linear Boundary Value Problems (BVPs). This method is based on the combination of …

Abstract We consider the Lidstone–Euler interpolation problem and the associated Lidstone–
Euler boundary value problem, in both theoretical and computational aspects. After a …

This article is concerned with establishing some new linearization formulas of the modified
Jacobi polynomials of certain parameters. We prove that the linearization coefficients involve …

This article is concerned with establishing some new linearization formulas of the modified
Jacobi polynomials of certain parameters. We prove that the linearization coefficients involve …

In this study, a new modification of the homotopy perturbation method (HPM) is introduced
for various order boundary value problems (BVPs). In this modification, HPM is hybrid with …