Existence of positive solutions to a singular second order boundary value problem
Nonlinear Analysis: Theory, Methods & Applications
The exact solution for solving a class nonlinear operator equations in the reproducing kernel space
Applied Mathematics and Computation
Existence and uniqueness of positive solution for singular boundary value problem
Computers & Mathematics with Applications
New algorithm for second-order boundary value problems of integro-differential equation
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Periodic boundary value problems for neutral multi-pantograph equations
Computers & Mathematics with Applications
Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
Journal of Computational and Applied Mathematics
A numerical algorithm for nonlinear multi-point boundary value problems
Journal of Computational and Applied Mathematics
Error estimation for the reproducing kernel method to solve linear boundary value problems
Journal of Computational and Applied Mathematics
A numerical method for singularly perturbed turning point problems with an interior layer
Journal of Computational and Applied Mathematics
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In this paper, we present a new method for solving singular two-point boundary value problem for certain ordinary differential equation having singular coefficients. Its exact solution is represented in the form of series in reproducing kernel space. In the mean time, the n-term approximation u"n(x) to the exact solution u(x) is obtained and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.