B-spline method for solving linear system of second-order boundary value problems

✍ Scribed by Nazan Caglar; Hikmet Caglar

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 588 KB
• Volume: 57
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.09.033

✦ Synopsis

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The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Variational iteration method for solving a nonlinear system of second-order boundary value problems, Comput. Math. Appl. 54 (2007Appl. 54 ( ) 1133Appl. 54 ( -1138]]. The comparison shows that the B-spline method is a more efficient and effective tool and yields better results.