References
- * O. Abu Arqub, The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations, Math. Methods. Appl. Sci. 39 (2016), pp. 4549–4562. doi: 10.1002/mma.3884
- * O. Abu Arqub, Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions, Comput. Math. Appl. 73 (2017), pp. 1243–1261. doi: 10.1016/j.camwa.2016.11.032
- G. Akram and H. Ur Rehman, Numerical solution of eighth order boundary value problems in reproducing kernel space, Numer. Algorithms 62 (2013), pp. 527–540. doi: 10.1007/s11075-012-9608-4
- A. Babaaghaie and K. Maleknejad, Numerical solution of integro-differential equations of high order by wavelet basis, its algorithm and convergence analysis, Appl. Math. Comput. 325 (2017), pp. 125–133. doi: 10.1016/j.cam.2017.04.035
- H. Beyrami and T. Lotfi, Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh, Appl. Numer. Math. 120 (2017), pp. 197–214. doi: 10.1016/j.apnum.2017.05.010
- Z. Chen and W. Jiang, An approximate solution for a mixed linear Volterra-Fredholm integral equation[J], Appl. Math. Lett. 25(8) (2012), pp. 1131–1134. doi: 10.1016/j.aml.2012.02.019
- M. Du, Y. Wang, and T. Chaolu, Reproducing kernel method for numerical simulation of downhole temperature distribution, Appl. Math. Comput. 297 (2017), pp. 19–30.
- C.A. Gelmi and H. Jorquera, A general purpose solver for nth-order integro-differential equations, Appl. Comput. Phys. Commun. 185 (2014), pp. 392–397. doi: 10.1016/j.cpc.2013.09.008
- F. Geng, A numerical algorithm for nonlinear multi-point boundary value problems, J. Comput. Appl. Math. 236 (2012), pp. 1789–1794. doi: 10.1016/j.cam.2011.10.010
- W. Jiang and Z. Chen, A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation, Numer. Methods. Partial. Differ. Equ. 30(1) (2014), pp. 289–300. doi: 10.1002/num.21809
- W. Jiang and N. Liu, A numerical method for solving the time variable fractional order mobile–immobile advection–dispersion model, Appl. Numer. Math. 119 (2017), pp. 18–32. doi: 10.1016/j.apnum.2017.03.014
- W. Jiang and T. Tian, Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method, Appl. Math. Model. 39(16) (2015), pp. 4871–4876. doi: 10.1016/j.apm.2015.03.053
- Z. Li, Y. Wang, and F. Tan, Solving a class of linear nonlocal boundary value problems using the reproducing kernel, Appl. Math. Comput. 265 (2015), pp. 1098–1105.
- Y. Lin and J. Lin, A numerical algorithm for solving a class of linear nonlocal boundary value problems, Appl. Math. Lett. 23 (2010), pp. 997–1002. doi: 10.1016/j.aml.2010.04.025
- S. Momani and M.A. Noor, Numerical comparison of methods for solving a special fourth-order boundary value problem, Appl. Math. Comput. 191 (2007), pp. 218–224.
- W. Wang and B. Han, Inverse heat problem of determining time-dependent source parameter in reproducing kernel space, Nonlinear Anal. Real World Appl. 14 (2013), pp. 875–887. doi: 10.1016/j.nonrwa.2012.08.009
- Y. Wang, T. Chaolu, and J. Pang, New algorithm for second-order boundary value problems of integro-differential equation, J. Comput. Appl. Math. 229 (2009), pp. 1–6. doi: 10.1016/j.cam.2008.10.040
- Y. Wang, T. Chaolu, and Z. Chen, Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems, Int. J. Comput. Math. 87 (2010), pp. 367–380. doi: 10.1080/00207160802047640
- B. Wu and X. Li, A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernei space, Appl. Math. Lett. 24 (2011), pp. 156–159. doi: 10.1016/j.aml.2010.08.036