A collocation method for solving a class of singular nonlinear two-point boundary value problems

Solution of a class of singular boundary value problems

“…Here we used this method to solve a class of singular two-point boundary value problem (1)(2)(3). The accuracy of the numerical solutions indicates that the method is well suited for the solution of this type of problems.…”

“…Singular boundary value problems occur in many applications such as modeling of different physiological processes, transport processes, thermal explosions, and electro-hydrodynamics. Existence-uniqueness of the problem (1) with boundary conditions y(0) = A (or y (0) = A) and y(1) = B have been given by Qu and Agarwal [2], Pandey [5], and Chawala and Subramanian [6]. Such problems have been studied by several authors.…”

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

“…(1) The following problem is taken from [1], which approximates the solutions of the following singular non-linear two-point boundary-value problem: aðxÞy 00 þ bðxÞy 0 ¼ f ðx; y; y 0 Þ; 0 6 x 6 1 ð1:1Þ y 0 ð0Þ ¼ 0; yð1Þ ¼ y r ð1:2Þ…”

Doubly singular boundary value problems with derivative dependent source function: A fast‐converging iterative approach

“…[5][6][7][8][9][10][11][12][13][14][15][16] Several methods have been developed for solving (1) with q(x) = 1, g(x) or x and f(x, y, gy ′ ) = f(x, y). For example, finite difference methods, 17,18 spline methods, 19,20 finite element method, 21 collocation method, 22 variational iteration method, 23 homotopy perturbation method, [24][25][26][27] Adomian decomposition method (ADM), 28 and B-spline collocation method. 29,30 However, numerical analysis literature does not contain much on numerical solutions of DDSBVP described by (1) to (3).…”