A simple, straightforward, accurate, and efficient numerical method for the solution of the
Troesch's problem is presented in this paper. The Troesch's problem is a well-known …

A new tool for the solution of nonlinear differential equations is presented. The Fixed‐Term
Homotopy (FTH) delivers a high precision representation of the nonlinear differential …

A new approach is proposed for the stationary Stokes equations. Based on the homotopy
perturbation method, some iterative algorithms are constructed, and four kinds of …

In this research article, the non-linear shooting method is modified (MNLSM) and is
considered to simulate Troesch’ s sensitive problem (TSP) numerically. TSP is a 2nd …

In this paper an evolutionary computational technique, which is stochastic in nature, is
applied for the first time to the numerical solution of the Troesch's problem. An approximate …

A coupled iterative approach based on quasilinearization and Krasnoselskii–Mann's
approximation for evaluating the solutions of nonlinear two point Dirichlet boundary value …

Troesch's problem arose while the investigation of the confinement of a plasma column by
applying radiation pressure was being conducted. It is an unstable problem in itself, with a …

A simple and efficient method that is called Successive Complementary Expansion Method
(SCEM) is applied for approximation to an unstable two‐point boundary value problem …

Applying twice an idea of Hernández and Rubio (2002) for constructing a one-parameter
family of secant-like methods, we define a two-parameter family of secant-like methods for …

In this paper, a new approach is proposed for solving the augmented systems. Based on the
modified homotopy perturbation method, we construct the new iterative methods and derive …