Abstract
A shifted Vieta-Fibonacci (SVF) matrix technique is presented to find the solution of third-order Emden–Fowler equations with nonlinearity and multi-singularity. To develop an efficient approach, the quasilinearization method (QLM) is first applied to the underlying model problem and then a collocation scheme based on the SVF functions is applied to the resultant sequence of linearized equations. The application of SFV-QLM yields an algebraic system of linear equations to be solved iteratively. A comprehensive error analysis is presented to show that the SVF series solution is convergent in the weighted L2 and L∞ norms. Finally, numerical experiments confirm the theoretical results and the applicability as well as the practicability of SVF-QLM algorithm. The consumed computational time for our proposed algorithm is provided. The proposed algorithm has numerous merits. It is not only effortless to implement, but also highly accurate and computationally efficient.
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 callMore From: Communications in Nonlinear Science and Numerical Simulation
Disclaimer: 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.
