Abstract
In this paper, we make an attempt to obtain the solutions of systems of nonlinear ordinary and partial differential equations by means of He’s homotopy-perturbation method (HPM) which does not require small parameters in the equations. This method is used for solving three types of systems of nonlinear differential equations which are those for laminar mixed convection in a vertical pipe, for a plane Couette flow with variable viscosity, and coupled Burger’s equations. To assess the accuracy of the solutions, the results have been compared with the ones of exact solutions. These results reveal that this method is very effective and convenient. It is predicted that the HPM can be found widely applicable in engineering, especially in nonlinear differential systems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
