Abstract
Several different approaches are implemented and used to solve higher order non-linear boundary value problems (BVPs). Galerkin weighted residual technique (GWRT) are commonly used to solve linear and non-linear BVPs. In this paper, we have proposed GWRT for the numerical computations of general third order three-point non-linear BVPs. Modified Legendre and Bezier Polynomials, over the interval [0, 1], are chosen separately as a basis functions. The main advantage of this method is its efficiency and simple applicability. Numerical result is presented to illustrate the performance of the proposed method. The results clearly show that the proposed method is suitable for solving third order nonlinear BVPs
Highlights
Non-linear boundary value problems control a variety of phenomena in engineering and applied science fields
Galerkin weighted residual method for the solution of BVPs are very important in recent literature and third order boundary value problems which is one in the family of ODEs is a well searched area for the application of different methods
The rest of the paper will be described as follows: In section two, we provide a short discussion on Legendre and Bezier polynomials which are relevant for the analysis of the problems under investigation
Summary
Non-linear boundary value problems control a variety of phenomena in engineering and applied science fields. Because of their mathematical significance and applications, higher order non-linear boundary value problems have been studied. Seeking analytical solutions for nonlinear BVPs is far from easy and often it’s impossible. To solve such problems, a large number of works have been identified. Galerkin weighted residual method for the solution of BVPs are very important in recent literature and third order boundary value problems which is one in the family of ODEs is a well searched area for the application of different methods
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
