Constrained multibody mechanical systems are used in various applications. These systems often lead to index-2 or index-3 differential-algebraic equations (DAEs), which are known to pose a challenge to numerical integration methods. This paper develops a novel approach to solve i...
Open access
Research Article10.9734/ARJOM/2018/38983
In this work, we present a technique for the analytical solution of systems of sti ordinary dierential equations (SODEs) using the power series method (PSM). Three SODEs systems are solved to show that PSM can nd analytical solutions of SODEs systems in convergent series form. Ad...
Open access
Research Article10.9734/BJMCS/2014/12778
In this paper, we propose an ecient modication of a New Homotopy Perturbation Method (NHPM) to obtain approximate and exact analytical solutions of Partial Dierential-Algebraic Equations (PDAEs). The NHPM is rst applied to the PDAE to obtain the exact solution in convergent serie...
Open access
Research Article10.9734/BJMCS/2014/12168
This work presents the application of the power series method (PSM) to find solutions of nonlinear delay differential equations of pantograph type (PDDEs). Three equations are solved to show that PSM can provide analytical solutions of PDDEs in convergent series form. The nonline...
Open access
Research Article10.9734/BJMCS/2014/11839