… with the method described in this paper to solve the Troesch’s problem for a wide range of
\(\lambda \) values. As many previous researchers have worked on this same problem and …

… solution for this problem was first investigated by Troesch [15] under the shooting techniques.
After this, the problem got the name as a Troesch’s problem … for solving this problem (see, …

… is organized as follows. In Section 2, we develop a one-step hybrid block Falkner method for
solving two-point boundary value problems… 3 when the differential equation is of the type in (…

… Troesch’s problem using the collocation method based on the cubic trigonometric B-Spline
technique. Troesch’s problem is a … is to provide an accurate and efficient numerical solution to …

… approach for solving Troesch’s problem by utilizing fixed-point iteration, Green’s function …
formulation of Troesch’s problem, the proposed fixed-point iteration method, the theoretical …

… is proposed to obtain an accurate approximate series solution of Troesch’s model problem
(… Additionally, the direct Bessel collocation approach is also developed for this model problem…

… In this article, we propose a new method to derive approximate analytical solution to the
Troesch’s problem in form of a piecewise continuous function. We emphasize that our method …

… ) method is presented for solving Troesch’s problem, which is a singular, highly sensitive,
and nonlinear boundary problem … (CTO) problem corresponding to Troesch’s problem is first …

… Therefore, Troesch’s problem has become a widely used test problem, and has been studied
extensively. Several iterative approximate methods such as variational spline method [21], …

… and error bound. In Section 3, we give the implementation of the method to Troesch and
Duffing … In Section 4, we solve these problems for various parameters and discuss the results …