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An Efficient Technique for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
- 1 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
- 2 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt
Applied Mathematics·Volume 03 (2012)·Pages 920–925·Published 28 August 2012·DOI10.4236/am.2012.38137
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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.
KeywordsChebychev PolynomialFourth-OrderSturm-LiouvilleEigenvalue
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