Tenth Order Compact Finite Difference Schemes for One Dimensional Helmholtz Equations Using Neumann Boundary Condition

This paper is designed to derived Sixth, eight and tenth order compact finite difference schemes for one dimensional Helmholtz equation using Neumann boundary condition. Numerical experiments was conducted to test the efficiency, accuracy and validity of the proposed shemes. Numerical results obtained from difference orders are compared and also with the exacts solution, Convergence and stability obtained and errors computed using L2 norms. Results shows that the tenth order of accuracy is better than order eight and sixth order while the sixth order of accuracy is better than the fourth order

Book of Abstracts of the 2nd International Conference on Applied Mathematics and Computational Sciences (ICAMCS-2022)

It is a great privilege for us to present the abstract book of ICAMCS-2022 to the authors and the delegates of the event. We hope that you will find it useful, valuable, aspiring, and inspiring. This book is a record of abstracts of the keynote talks, invited talks, and papers presented by the participants, which indicates the progress and state of development in research at the time of writing the research article. It is an invaluable asset to all researchers. The book provides a permanent record of this asset. Conference Title: 2nd International Conference on Applied Mathematics and Computational SciencesConference Acronym: ICAMCS-2022Conference Date: 12-14 October 2022Conference Organizers: DIT University, Dehradun, IndiaConference Mode: Online (Virtual