Approximate solution of linear ordinary differential equations with variable coefficients
Mathematics and Computers in Simulation
A collection of computational techniques for solving singular boundary-value problems
Advances in Engineering Software
Journal of Computational and Applied Mathematics
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In this paper, we present a method using qd-algorithm combined with finite difference method for numerically solving singular boundary value problems for certain ordinary differential equation having singular coefficients. (We can also use qd-algorithm combined with other numerical methods.) These problems arise when reducing partial differential equation to ordinary differential equation by physical symmetry. Some illustrative examples are given to demonstrate the efficiency and high accuracy of the proposed method and compare it to the numerical results made with other methods.