A new kind of optimization technique, namely, continuous genetic algorithm, is presented in
this paper for numerically approximating the solutions of Troesch's and Bratu's problems …

This paper deals with a class of Bratu's type, Troesch's and nonlocal elliptic boundary value
problems. Due to strong nonlinearity and presence of parameter δ, it is very difficult to solve …

In this study, a computational intelligence technique based on three different designs of
artificial neural networks (ANNs) is presented to solve the nonlinear Troesch's boundary …

Two collocation-based methods utilizing the novel Bessel polynomials (with positive
coefficients) are developed for solving the non-linear Troesch's problem. In the first …

In this article, the numerical techniques are presented for the solution of Troesch's problem
based on neural networks optimized with three different methods including particle swarm …

In this article, numerical solutions of nonlinear ordinary differential equations of fractional
order by the Haar wavelet and quasilinearization are discussed. Quasilinearization …

This paper deals with a class of Bratu's type, Troesch's, and nonlocal elliptic boundary value
problems arising in the heat transfer process. Due to the strong nonlinearity and presence of …

In this paper, we use homotopy analysis method (HAM) to solve two‐point nonlinear
boundary value problems that have at least one solution. The new approach provides the …

In this paper, a combination of Laplace transform and variational iteration method are
applied to get an approximate analytic solution for the multi-pantograph delay with higher …

In this article, a simple and efficient approach for the approximate solution of a nonlinear
differential equation known as Troesch's problem is proposed. In this article, a mathematical …