Abstract and Applied Analysis

Solutions of a Class of Sixth Order Boundary Value Problems Using the Reproducing Kernel Space

Ghazala Akram and Hamood Ur Rehman

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Abstract

The approximate solution to a class of sixth order boundary value problems is obtained using the reproducing kernel space method. The numerical procedure is applied on linear and nonlinear boundary value problems. The approach provides the solution in terms of a convergent series with easily computable components. The present method is simple from the computational point of view, resulting in speed and accuracy significant improvements in scientific and engineering applications.It was observed that the errors in absolute values are better than compared (Che Hussin and Kiliçman (2011) and, Noor and Mahyud-Din (2008), Wazwaz (2001), Pandey (2012)).Furthermore, the nonlinear boundary value problem for the integrodifferential equation has been investigated arising in chemical engineering, underground water flow and population dynamics, and other fields of physics and mathematical chemistry. The performance of reproducing kernel functions is shown to be very encouraging by experimental results.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 560590, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511844

Digital Object Identifier
doi:10.1155/2013/560590

Mathematical Reviews number (MathSciNet)
MR3045001

Zentralblatt MATH identifier
1364.65148

Citation

Akram, Ghazala; Ur Rehman, Hamood. Solutions of a Class of Sixth Order Boundary Value Problems Using the Reproducing Kernel Space. Abstr. Appl. Anal. 2013 (2013), Article ID 560590, 8 pages. doi:10.1155/2013/560590. https://projecteuclid.org/euclid.aaa/1393511844


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