TY - JOUR AU - Moradi, Eslam AU - Yusefi, Aasadolla AU - Abdollahzadeh, Abolfazl AU - Tila, Elham PY - 2014 TI - New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations JO - Journal of Mathematics and Computer Science SP - 253-262 VL - 12 IS - 4 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.012.04.01 DO - 10.22436/jmcs.012.04.01 ID - Moradi2014 ER - TY - JOUR TI - A reproducing kernel method for solving nonlocal fractional boundary value problems AU - F. Geng AU - M. Cui JO - Appl. Math. 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PY - 2007 DA - 2007// VL - 192 ID - Geng2007 ER - TY - JOUR TI - Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method AU - W. Jiang AU - M. Cui AU - Y. Lin JO - Commun Nonlinear SciNumerSimulat PY - 2010 DA - 2010// VL - 15 ID - Jiang2010 ER - TY - BOOK TI - RKM for the Numerical Solution of Bratu’s Initial Value Problem AU - E. Babolian AU - Sh. Javadi AU - E. Moradi PB - submitted on December 27 PY - 2013 DA - 2013// CY - ID - Babolian2013 ER - TY - BOOK TI - Iterative reproducing kernel method for a beam equation with third-order nonlinear boundary conditions AU - F. Geng PB - Mathematical Sciences PY - 2012 DA - 2012// CY - ID - Geng2012 ER - TY - JOUR TI - Application of reproducing kernel method to third order three-point boundary value problems AU - B. Wu AU - X. Li JO - Appl. Math. Comp. PY - 2010 DA - 2010// VL - 217 ID - Wu2010 ER - TY - JOUR TI - Solving a nonlinear system of second order boundary value problems AU - F. 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Rabbani JO - Journal of mathematics and computer Science PY - 2013 DA - 2013// VL - 7 ID - Rabbani2013 ER - TY - JOUR TI - A New Modified Approach for solving seven-order Sawada-Kotara equations AU - M. Saravi AU - A. Nikkar AU - M. Hermann AU - J. Vahidi AU - R. Ahari JO - Journal of mathematics and computer Science PY - 2013 DA - 2013// VL - 6 ID - Saravi2013 ER - TY - JOUR TI - The analytical solution of singularly perturbed boundary value problems AU - S. Gh. Hosseini AU - S. M. Hosseini AU - M. Heydari AU - M. Amini JO - Journal of mathematics and computer science PY - 2014 DA - 2014// VL - 10 ID - Hosseini2014 ER -