New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations

Volume 12, Issue 4, pp 253-262 http://dx.doi.org/10.22436/jmcs.012.04.01

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Authors

Eslam Moradi - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University,50 Taleghani Avenue, 1561836314 Tehran, Iran. Aasadolla Yusefi - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University,50 Taleghani Avenue, 1561836314 Tehran, Iran. Abolfazl Abdollahzadeh - Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Birjand University, Birjand, Iran. Elham Tila - Department of Mathematics Sciences and Statistics, Islamic Azad University, Dezful Branch, Dezful, Iran.

Abstract

In this paper, we apply the new implementation of reproducing kernel Hilbert space method to give the approximate solution to some third-order boundaryvalue problems with variable coefficients. In this method, the analytical solution is expressed in the form of a series. At the end, two examples are given to illustrate implementation, accuracy and effectiveness of the method.

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Keywords

• Reproducing kernel Hilbert space method
• Boundary value problems
• Third-order differential equations
• Approximatesolution.

MSC

•  34A07
•  34A08
•  46E22

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