Skip to content
Research Article Open access CC BY 4.0

Chebychev Polynomial Solutions of Twelfth-order Boundary-value Problems

Mohamed El-Gamel

Journal of Advances in Mathematics and Computer Science · pp. 13–23 · Published 17 Dec 2014

10.9734/BJMCS/2015/8874

Abstract

In this paper, Chebychev method is applied to solve twelfth-order boundary-value problems. The numerical results obtained with minimum amount of computation are compared with differential transformation method to show the efficiency of the method. The results show that the Chebychev method is high accuracy, more convenient and efficient for solving twelfth-order boundary-value problems.

Chebychev polynomials twelfth-order nonlinear numerical solution.

Cited by 10

Nonlinear second order systems of Fredholm integro-differential equations

Mohamed El-Gamel, Ola Mohamed · SeMA Journal · 2021

Jacobi polynomials and the numerical solution of ray tracing through the crystalline lens

Mahmoud Abd El-Hady, Atallah El-shenawy · Optical and Quantum Electronics · 2024

Problem optimization of ray tracing through the crystalline lens of the eye with an artificial neural network and Grey Wolf optimizer

Atallah El-shenawy, Mahmoud Abd El-Hady, Ahmed I. Saleh · Communications in Nonlinear Science and Numerical Simulation · 2025

A Hybrid Scheme for Efficient Numerical Solution of the Fractional Telegraph Equation

Atallah El-shenawy, Mohamed El-Gamel, Amir Teba · Iranian Journal of Science · 2024

Approximate Solutions for Higher Order Linear and Nonlinear Boundary Value Problems

Siddra Habib, Muhammad Khurshid Azam, Muhammad Imran Asjad · International Journal of Applied and Computational Mathematics · 2021

On the solution of MHD Jeffery–Hamel problem involving flow between two nonparallel plates with a blood flow application

Atallah El‐Shenawy, Mohamed El‐Gamel, Mahmoud Abd El‐Hady · Heat Transfer · 2024

A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows

Mohamed El-Gamel, Ola Mohamed, Neveen El-Shamy · Applied Mathematics · 2020

Chebyshev Collocation Method for Pantograph Delay Differential Equations with Linear Functional Arguments

Fathalla A. Rihan, Ola Mohamed · Springer Proceedings in Physics · 2025

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

10

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.