A collection of computational techniques for solving singular boundary-value problems

Authors:
Manoj Kumar;Neelima Singh
Affiliations:
Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh 211 004, India;Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh 211 004, India
Venue:
Advances in Engineering Software
Year:
2009

Citing 21
Cited 4

Order h2 methods for a singular two-point boundary value problem

BIT
Spline finite difference methods for singular two point boundary value problems

Numerische Mathematik
On a class of weakly regular singular two point boundary value problems—I

Nonlinear Analysis: Theory, Methods & Applications
Order h4 difference methods for a class of singular two space elliptic boundary value problems

Journal of Computational and Applied Mathematics
A collocation method for solving a class of singular nonlinear two-point boundary value problems

Journal of Computational and Applied Mathematics
A reliable modification of Adomian decomposition method

Applied Mathematics and Computation
Pointwise convergence of approximations to a convection—diffusion equation on a Shishkin mesh

Applied Numerical Mathematics
Correction method and extrapolation method for singular two-point boundary value problems

Journal of Computational and Applied Mathematics
Approximation of derivatives in a convection-diffusion two-point boundary value problem

Applied Numerical Mathematics
Tikhonov regularization of an elliptic PDE

Mathematics and Computers in Simulation
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems

Applied Numerical Mathematics
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
Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems

SIAM Journal on Numerical Analysis
Quintic spline approach to the solution of a singularly-perturbed boundary-value problem

Journal of Optimization Theory and Applications
A spline method for second-order singularly perturbed boundary-value problems

Journal of Computational and Applied Mathematics
Integral methods for computing solutions of a class of singular two-point boundary value problems

Applied Mathematics and Computation
A three-point finite difference method for a class of singular two-point boundary value problems

Journal of Computational and Applied Mathematics
On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology

Journal of Computational and Applied Mathematics
On the convergence of finite difference methods for weakly regular singular boundary value problems

Journal of Computational and Applied Mathematics
Existence and uniqueness of positive solution for singular boundary value problem

Computers & Mathematics with Applications
A family of variable mesh methods for the estimates of (du/dr) and solution of non-linear two point boundary value problems with singularity

Journal of Computational and Applied Mathematics

Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm

Journal of Computational and Applied Mathematics
Direct Expansion Method of Boundary Condition for solving 3D elliptic equations with small parameters in the irregular domain

Computers & Mathematics with Applications
Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: A survey

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Phase plane analysis and traveling wave solution of third order nonlinear singular problems arising in thin film evolution

Computers & Mathematics with Applications

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Abstract

Grid computing now becomes a practical computing paradigm and solution for distributed systems and applications. Currently increasing resources are involved in Grid environments and a large number of applications are running on computational Grids. Unfortunately ...