This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …

In this paper a new approach combining the features of the homotopy concept with an
efficient computational algorithm which provides a simple and rigorous procedure to control …

The present paper addresses the approximate analytical solution of the nonlinear Riccati
differential equations using the Multistage homotopy asymptotic method which is used in …

In this paper, a well-known optimal Galerkin-homotopy asymptotic method (OGHAM) has
been used to solve the nonlinear secondorder boundary value problems (BVPs) derived …

This paper reports a spectral tau method for numerically solving multi-point boundary value
problems (BVPs) of linear high-order ordinary differential equations. The construction of the …

Multi-point boundary value problems have received considerable interest in the
mathematical applications in different areas of science and engineering. In this work, our …

This work presents the extension of the Residual Power Series Method (RPSM) to boundary
value problems using Mathematica software. This development is tested on twelfth-order …

Design problems in structural engineering are often modeled as differential equations.
These problems are posed as initial or boundary value problems with several possible …

In the modern era, increasing numbers of cores per chip are applied for decentralized
systems, but there is not any appropriate symbolic computation approach to construct …

We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method
(OHAM) to find approximate solution of a system of two‐point boundary‐value problems …