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


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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ISRP Style

Eslam Moradi, Aasadolla Yusefi, Abolfazl Abdollahzadeh, Elham Tila, New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations, Journal of Mathematics and Computer Science, 12 (2014), no. 4, 253-262

AMA Style

Moradi Eslam, Yusefi Aasadolla, Abdollahzadeh Abolfazl, Tila Elham, New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations. J Math Comput SCI-JM. (2014); 12(4):253-262

Chicago/Turabian Style

Moradi, Eslam, Yusefi, Aasadolla, Abdollahzadeh, Abolfazl, Tila, Elham. "New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations." Journal of Mathematics and Computer Science, 12, no. 4 (2014): 253-262


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