A New Numerical Algorithm for Two-Point Boundary Value Problems

Other literature type, Article English OPEN
Guo, Lihua; Wu, Boying; Zhang, Dazhi;
(2014)

We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical sta... View more
  • References (16)
    16 references, page 1 of 2

    Aziz, T., Kumar, M.. A fourth-order finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problems. Journal of Computational and Applied Mathematics. 2001; 136 (1-2): 337-342

    Kumar, M., Aziz, T.. A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems. International Journal of Computer Mathematics. 2004; 81 (12): 1507-1512

    Kumar, M.. A second order spline finite difference method for singular two-point boundary value problems. Applied Mathematics and Computation. 2003; 142 (2-3): 283-290

    Kumar, M.. Higher order method for singular boundary-value problems by using spline function. Applied Mathematics and Computation. 2007; 192 (1): 175-179

    Rashidinia, J., Mahmoodi, Z., Ghasemi, M.. Parametric spline method for a class of singular two-point boundary value problems. Applied Mathematics and Computation. 2007; 188 (1): 58-63

    Yao, H., Lin, Y.. Solving singular boundary-value problems of higher even-order. Journal of Computational and Applied Mathematics. 2009; 223 (2): 703-713

    Lin, Y., Niu, J., Cui, M.. A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space. Applied Mathematics and Computation. 2012; 218 (14): 7362-7368

    Niu, J., Lin, Y. Z., Zhang, C. P.. Approximate solution of nonlinear multi-point boundary value problem on the half-line. Mathematical Modelling and Analysis. 2012; 17 (2): 190-202

    Song, C., Li, J., Gao, R.. Nonexistence of global solutions to the initial boundary value problem for the singularly perturbed sixth-order boussinesq -type equation. Journal of Applied Mathematics. 2014; 2014- 7

    Orel, B., Perne, A.. Chebyshev-fourier spectral methods for nonperiodic boundary value problems. Journal of Applied Mathematics. 2014; 2014-10

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