A Numerical Method for Singular Boundary-Value Problems

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DOI: 10.4236/jamp.2014.29100    3,429 Downloads   4,328 Views   Citations

ABSTRACT

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.

Cite this paper

Hamad, A. , Tadi, M. and Radenkovic, M. (2014) A Numerical Method for Singular Boundary-Value Problems. Journal of Applied Mathematics and Physics, 2, 882-887. doi: 10.4236/jamp.2014.29100.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

  
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