Higher order finite difference method for a class of singular boundary value problems
From MaRDI portal
Publication:1883164
DOI10.1016/S0096-3003(03)00774-4zbMath1058.65078MaRDI QIDQ1883164
Y. N. Reddy, A. S. V. Ravi Kanth
Publication date: 1 October 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (25)
Solving singular two-point boundary value problem in reproducing kernel space ⋮ A new method for solving a class of singular two-point boundary value problems ⋮ Precise integration method for a class of singular two-point boundary value problems ⋮ A class of multi-step difference schemes by using Padé approximant ⋮ Sinc-Galerkin and sinc-collocation methods in the solution of nonlinear two-point boundary value problems ⋮ Fractal cubic spline methods for singular boundary-value problems ⋮ Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases ⋮ An optimal computational method for a general class of nonlinear boundary value problems ⋮ Solving singular two-point boundary value problems using continuous genetic algorithm ⋮ An efficient technique based on higher order Haar wavelet method for Lane-Emden equations ⋮ A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems ⋮ A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method ⋮ An effective approach for numerical solution of linear and nonlinear singular boundary value problems ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ A quartic \(B\)-spline for second-order singular boundary value problems ⋮ Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions ⋮ Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method ⋮ A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems ⋮ On the numerical solution of singular Lane-Emden type equations using cubic B-spline approximation ⋮ Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods ⋮ A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems ⋮ Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method ⋮ Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique
Cites Work
- Spline finite difference methods for singular two point boundary value problems
- Stable high order methods for differential equations with small coefficients for the second order terms
- On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
- Numerical Methods for Singular Boundary Value Problems
- Galerkin Methods for Singular Boundary Value Problems in One Space Dimension
- A Finite-difference Method for a Class of Singular Two-point Boundary-value Problems
This page was built for publication: Higher order finite difference method for a class of singular boundary value problems
