References
- Ansari , A. R. and Hegarty , A. F. 2003 . A note on iterative methods for solving singularly perturbed using non-monotone methods on Shishkin meshes . Comput. Methods Appl. Mech. Eng. , 192 : 3673 – 3687 .
- Ansari , A. R. and Hegarty , A. F. 2003 . Numerical solution of a convection diffusion problem with Robin boundary conditions . J. Comput. Appl. Math. , 156 : 221 – 238 .
- Ansari , A. R. , Hegarty , A. F. and Shishkin , G. I. 2003 . A note on fitted operator methods for the classical laminar free jet problem . Appl. Numer. Math. , 45 : 353 – 365 .
- Ansari , A. R. , Bakr , S. A. and Shishkin , G. I. 2007 . A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations . J. Comput. Appl. Math. , 205 : 552 – 566 .
- Chen , Z. and Chen , Z.-J. 2008 . The exact solution of system of linear operator equations in reproducing kernel spaces . Appl. Math. Comput. , 203 : 56 – 61 .
- Clavero , C. , Jorge , J. C. , Lisbona , F. and Shishkin , G. I. 2000 . An alternating direction scheme on a nonuniform mesh for reaction–diffusion parabolic problem . IMA J. Numer. Anal. , 20 : 263 – 280 .
- Farrell , P. A. , Hegarty , A. F. , Miller , J. J.H. , O'riordan , E. and Shishkin , G. I. 2000 . Robust Computational Techniques for Boundary Layers , London : Chapman & Hall .
- Geng , F. , Cui , M. and Zhang , B. 2010 . Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods . Nonlinear Anal. Real World Appl. , 11 : 637 – 644 .
- Hemker , P. W. , Shishkin , G. I. and Shishkina , L. P. 2003 . Novel defect-correction high-order in space and time accurate schemes for parabolic singularly perturbed convection–diffusion problems . Comput. Methods Appl. Math. , 3 : 387 – 404 .
- Jiang , W. , Cui , M. and Lin , Y. 2010 . Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method . Commun. Nonlinear Sci. Numer. Simul. , 15 : 1754 – 1758 .
- Lin , Y. and Lin , J. 2010 . Numerical method for solving the nonlinear four-point boundary value problems . Commun. Nonlinear Sci. Numer. Simul. , 15 : 3855 – 3864 .
- Lv , X. and Cui , M. 2010 . An efficient computational method for linear fifth-order two-point boundary value problems . J. Comput. Appl. Math. , 234 : 1551 – 1558 .
- Wang , Y. , Chaolu , T. and Chen , Z. 2010 . Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems . Int. J. Comput. Math. , 87 : 367 – 380 .
- Wang , Y. , Cao , X. and Li , X. 2011 . A new method for solving singular fourth-order boundary value problems with mixed boundary conditions . Appl. Math. Comput. , 217 : 7385 – 7390 .
- Yulan , W. and Lu , C. 2008 . Using reproducing kernel for solving a class of partial differential equation with variable-coefficients . Appl. Math. Mech. , 29 : 129 – 137 .
- Yulan , W. , Chaolu , T. and Jing , P. 2009 . New algorithm for second-order boundary value problems of integro-differential equation . J. Comput. Appl. Math. , 229 : 1 – 6 .