This note is concerned with an iterative method for the solution of
singular boundary value problems. It can be considered as a predictor-corrector method. Sufficient
conditions for the convergence of the method are introduced. A number of
numerical examples are used to study the applicability of the method.
References
[1]
Kadalbajoo, M. and Agarwal, V. (2004) Cubic Spline for Solving Singular Two-Point Boundary Value Problems. Applied Mathematics and Computation, 156, 249-259. http://dx.doi.org/10.1016/j.amc.2003.07.020
[2]
Ravi Kanth, A. and Reddy, Y. (2005) Cubic Spline for a Class of Singular Two Point Boundary Value Problems. Applied Mathematics and Computation, 170, 733-740. http://dx.doi.org/10.1016/j.amc.2004.12.049
[3]
Mohanty, R.K., Sachder, P.L. and Jha, N. (2004) An o(h4) Accurate Cubic Spline TAGE Method for Nonlinear Singular Two Point Boundary Value Problem. Applied Mathematics and Computation, 158, 853-868. http://dx.doi.org/10.1016/j.amc.2003.08.145
[4]
Geng, F.Z. and Cui, M.G. (2007) Solving Singular Nonlinear Second-Order Periodic Boundary Value Problems in the Reproducing Kernel Space. Applied Mathematics and Computation, 192, 389-398. http://dx.doi.org/10.1016/j.amc.2007.03.016
[5]
Li, Z.Y., Wang, Y.L., Tan, F.G., Wan, X.H. and Nie, T.F. (2012) The Solution of a Class of Singularly Perturbed Two-Point Boundary Value Problems by the Iterative Reproducing Kernel Method. Abstract and Applied Analysis, 1-7.
[6]
Mohsen, A. and El-Gamel, M. (2008) On the Galerkin and Collocation Methods for Two-Point Boundary Value Problems Using Sinc Bases. Computers and Mathematics with Allications, 56, 930-941. http://dx.doi.org/10.1016/j.camwa.2008.01.023
[7]
Secer, A. and Kurulay, M. (2012) The Sinc-Galerkin Method and Its Applications on Singular Dirichlet-Type Boundary Value Problems. Boundary Value Problems, 126, 1-14.
