The homotopy perturbation method (HPM) is employed to obtain an approximate solution for
the nonlinear differential equation which describes Troesch's problem. In contrast to other …

An optimization method standing on a new basis formed by the transcendental Bernstein
series (TBS) is proposed. The TBS includes the unknown free coefficients and control …

In this paper, a novel method is proposed for solving nonlinear two-point boundary value
problems (BVPs). This method is based on a combination of the Adomian decomposition …

In this paper, the homotopy perturbation method (HPM) is applied to solve the
multipantograph delay equations with variable coefficients. The sufficient conditions are …

In this paper, an algorithm is proposed for the solution of second-order boundary value
problems with two-point boundary conditions. The Green's function method is applied first to …

Three new and applicable approaches based on quasi-linearization technique, wavelet-
homotopy analysis method, spectral methods, and converting two-point boundary value …

In this paper, we propose a numerical approach for solving Troesch's problem which arises
in the confinement of a plasma column by radiation pressure. It is also an inherently …

In this study, stochastic computational intelligence techniques are presented for the solution
of Troesch's boundary value problem. The proposed stochastic solvers use the competency …

An optimal iterative method is proposed for a reliable solution of a class of Bratu-type,
Troesch's and nonlocal elliptic boundary value problems (BVPs). Due to the presence of …

ABSTRACT A new algorithm is presented for solving Troesch's problem. The numerical
scheme based on the sinc-collocation technique is deduced. The equation is reduced to …