An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems - Applied Mathematics

AM > Vol.3 No.8, August 2012

Applied Mathematics

Volume 3, Issue 8 (August 2012)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems ()

HTML

Download as PDF (Size: 162KB) PP. 920-925

DOI: 10.4236/am.2012.38137 6,687 Downloads 10,835 Views Citations

Author(s)

Mohamed El-Gamel, Mona Sameeh

Affiliation(s)

Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt.

ABSTRACT

In this work, we present a computational method for solving eigenvalue problems of fourth-order ordinary differential equations which based on the use of Chebychev method. The efficiency of the method is demonstrated by three numerical examples. Comparison results with others will be presented.

KEYWORDS

Chebychev Polynomial; Fourth-Order; Sturm-Liouville; Eigenvalue

Share and Cite:

M. El-Gamel and M. Sameeh, "An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems," Applied Mathematics, Vol. 3 No. 8, 2012, pp. 920-925. doi: 10.4236/am.2012.38137.

Cited by

[1]	On Using Bernstein Scheme for Computation of the Eigenvalues of Fourth-Order Sturm–Liouville Problems
	2021

[2]	Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points
	2021

[3]	Nonlinear second order systems of Fredholm integro-differential equations
	2021

[4]	Solutions of direct and inverse Sturm–Liouville problems
	2021

[5]	A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows
	2020

[6]	Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams Based on Chebyshev Collocation Method
	2020

[7]	Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion
	2019

[8]	Eigenvalue Computation of Regular 4th Order Sturm-Liouville Problems
	2019

[9]	An Effective Numerical Technique Based on the Tau Method for the Eigenvalue Problems
	2018

[10]	A linear finite element method for sixth order elliptic equations
	2018

[11]	AC^ 0 Linear Finite Element Method for Biharmonic Problems
	Journal of Scientific Computing, 2017

[12]	Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases
	SeMA Journal, 2016

[13]	A new numerical method for solving high-order fractional eigenvalue problems
	Journal of Computational and Applied Mathematics, 2016

[14]	Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations
	Advances in Mathematical Physics , 2016

[15]	Chebychev Polynomial Solutions of Twelfth-order Boundary-value Problems
	British Journal of Mathematics & Computer Science, 2015

[16]	Computation of Eigenvalues of the Fourth Order Sturm-Liouville BVP by Galerkin Weighted Residual Method
	British Journal of Mathematics & Computer Science, 2015

[17]	A Recovery Based Linear Finite Element Method For 1D Bi-Harmonic Problems
	Journal of Scientific Computing, 2015

[18]	Generalized Sturm-Liouville Problems and Chebychev Collocation Method
	British Journal of Mathematics & Computer Science, 2014

[19]	Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions
	SeMA Journal, 2014

[20]	Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter …
	SeMA Journal, 2014

[21]	A chebychev collocation method for solving Troesch's problem
	International Journal of Mathematics and Computer Applications Research, 2013

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies