References
- S. Abbasbandya and B. Azarnavid, Some error estimates for the reproducing kernel Hilbert spaces method, J. Comput. Appl. Math. 296 (2016), pp. 789–797.
- H. Beyrami, T. Lotfi, and K. Mahdiani, 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.
- Z. Chen, L.B. Wu, and Y.Z. Lin, Exact solution of a class of fractional integro-differential equations with the weakly singular kernel based on a new fractional reproducing kernel space, Math. Method Appl. Sci. 41 (2018), pp. 3841–3855.
- H. Du and Z. Chen, A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation, Appl. Math. Lett. 102 (2020), pp. 106117.
- H. Du, G.L. Zhao, and C.Y. Zhao, Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity, J. Comput. Appl. Math. 255 (2014), pp. 122–132.
- F.Z. Genga and M.G. Cui, New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions, J. Comput. Appl. Math. 233 (2009), pp. 165–172.
- F.Z. Geng, S.P. Qian, and M.G. Cui, Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior, Appl. Math. Comput. 252 (2015), pp. 58–63.
- M.A. Krasnosel'skii, G.M. Vainikko, P.P. Zabreiko, Y.B. Rutitskii, and V.Y. Stetsenko, Approximate Solution of Operator Equations, Dordrecht, Springer, 1972.
- X.Y. Li and B.Y. Wu, Error estimation for the reproducing kernel method to solve linear boundary value problems, J. Comput. Appl. Math. 243 (2013), pp. 10–15.
- Y.Z. Lin, M.G. Cui, and L.H. Yang, Representation of the exact solution for a kind of nonlinear partial differential equation, Appl. Math. Lett. 19 (2006), pp. 808–813.
- L.C. Mei, Y.T. Jia, and Y.Z. Lin, Simplified reproducing kernel method for impulsive delay differential equations, Appl. Math. Lett. 83 (2018), pp. 123–129.
- L. Shi, Z. Chen, X.H. Ding, and Q. Ma, A new stable collocation method for solving a class of nonlinear fractional delay differential equations, Math. Methods. Appl. Sci. (2018), pp. 1–16.
- P.J.Y. Wong, R.P. Agarwal, Explicit error estimates for quintic and biquintic spline interpolation, Comput. Math. Appl. 18(8) (1989), pp. 701–722.
- Y.L. Wang, M.J. Du, F.G. Tan, Z, Y. Li, and T.F. Nie, Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions, Appl. Math. Comput. 219 (2013), pp. 5918–5925.
- Z.H. Zhao, Y.Z. Lin, and J. Niu, Convergence order of the reproducing Kernel method for solving boundary value problems, Math. Model. Anal. 21 (2016), pp. 466–477.