In this paper, a proposed computational method referred to as Projected Differential
Transformation Method (PDTM) resulting from the modification of the classical Differential …

For a second-order nonlinear singularly perturbed boundary value problem (SPBVP), we
develop two novel algorithms to find the solution, which automatically satisfies the Robin …

This article presents the solution of boundary value problems using finite difference scheme
and Laplace transform method. Some examples are solved to illustrate the methods; …

In this paper, we propose a new approximation method (we shall call this method as α‐
parameterized differential transform method), which differs from the traditional differential …

A training algorithm for the Neural Network solution of Singular Perturbation Boundary Value
Problems is presented. The solution is based on a single hidden layer feed forward Neural …

We introduce a coordinate transformation of independent variable, such that the second-
order nonlinear singularly perturbed boundary value problem (SPBVP) in the transformed …

Abstract for a second-order singularly perturbed ordinary differential equation (ODE) under
the Robin type boundary conditions, we develop an energetic Robin boundary functions …

In this paper, a hybrid numerical-analytical technique resulting from the combination of the
differential transformation method and the Pade approximation technique; hereby referred to …

For the purpose of solving a second-order singularly perturbed problem (SPP) with variable
coefficients, am th-order asymptotic-numerical method was developed, which decomposes …

In the numerical integration of the second-order nonlinear boundary value problem (BVP),
the right boundary condition plays the role as a target equation, which is solved either by the …